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Finding the Fourth Proportional to 657,634.80, 986,452.20 and 515,917.20

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Solution

The fourth proportional to 657,634.80, 986,452.20 and 515,917.20 is: 773,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,634.80 : 986,452.20 = 515,917.20 : x
  2. Step 2: Convert to fraction form
    657,634.80/986,452.20 = 515,917.20/x
  3. Step 3: Cross multiply
    657,634.80x = 986,452.20 × 515,917.20
  4. Step 4: Simplify right side
    657,634.80x = 508,927,656,957.84
  5. Step 5: Solve for x
    x = 508,927,656,957.84/657,634.80
  6. Step 6: Final answer
    x = 773,875.80

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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.