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Finding the Fourth Proportional to 657,645.60, 986,468.40 and 523,801.20

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Solution

The fourth proportional to 657,645.60, 986,468.40 and 523,801.20 is: 785,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,645.60 : 986,468.40 = 523,801.20 : x
  2. Step 2: Convert to fraction form
    657,645.60/986,468.40 = 523,801.20/x
  3. Step 3: Cross multiply
    657,645.60x = 986,468.40 × 523,801.20
  4. Step 4: Simplify right side
    657,645.60x = 516,713,331,682.08
  5. Step 5: Solve for x
    x = 516,713,331,682.08/657,645.60
  6. Step 6: Final answer
    x = 785,701.80

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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.