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Finding the Fourth Proportional to 657,657.60, 986,486.40 and 523,813.20

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Solution

The fourth proportional to 657,657.60, 986,486.40 and 523,813.20 is: 785,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,657.60 : 986,486.40 = 523,813.20 : x
  2. Step 2: Convert to fraction form
    657,657.60/986,486.40 = 523,813.20/x
  3. Step 3: Cross multiply
    657,657.60x = 986,486.40 × 523,813.20
  4. Step 4: Simplify right side
    657,657.60x = 516,734,597,940.48
  5. Step 5: Solve for x
    x = 516,734,597,940.48/657,657.60
  6. Step 6: Final answer
    x = 785,719.80

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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.