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Finding the Fourth Proportional to 657,704.10, 986,556.15 and 523,859.70

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Solution

The fourth proportional to 657,704.10, 986,556.15 and 523,859.70 is: 785,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,704.10 : 986,556.15 = 523,859.70 : x
  2. Step 2: Convert to fraction form
    657,704.10/986,556.15 = 523,859.70/x
  3. Step 3: Cross multiply
    657,704.10x = 986,556.15 × 523,859.70
  4. Step 4: Simplify right side
    657,704.10x = 516,817,008,772.16
  5. Step 5: Solve for x
    x = 516,817,008,772.16/657,704.10
  6. Step 6: Final answer
    x = 785,789.55

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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.