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Finding the Fourth Proportional to 657,651.60, 986,477.40 and 523,807.20

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Solution

The fourth proportional to 657,651.60, 986,477.40 and 523,807.20 is: 785,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,651.60 : 986,477.40 = 523,807.20 : x
  2. Step 2: Convert to fraction form
    657,651.60/986,477.40 = 523,807.20/x
  3. Step 3: Cross multiply
    657,651.60x = 986,477.40 × 523,807.20
  4. Step 4: Simplify right side
    657,651.60x = 516,723,964,757.28
  5. Step 5: Solve for x
    x = 516,723,964,757.28/657,651.60
  6. Step 6: Final answer
    x = 785,710.80

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.