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Finding the Fourth Proportional to 402,851.75, 604,277.77 and 103,332.30

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Solution

The fourth proportional to 402,851.75, 604,277.77 and 103,332.30 is: 154,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,851.75 : 604,277.77 = 103,332.30 : x
  2. Step 2: Convert to fraction form
    402,851.75/604,277.77 = 103,332.30/x
  3. Step 3: Cross multiply
    402,851.75x = 604,277.77 × 103,332.30
  4. Step 4: Simplify right side
    402,851.75x = 62,441,411,812.97
  5. Step 5: Solve for x
    x = 62,441,411,812.97/402,851.75
  6. Step 6: Final answer
    x = 154,998.49

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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.