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Finding the Fourth Proportional to 417,567.30, 626,349.20 and 151,265.49

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Solution

The fourth proportional to 417,567.30, 626,349.20 and 151,265.49 is: 226,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,567.30 : 626,349.20 = 151,265.49 : x
  2. Step 2: Convert to fraction form
    417,567.30/626,349.20 = 151,265.49/x
  3. Step 3: Cross multiply
    417,567.30x = 626,349.20 × 151,265.49
  4. Step 4: Simplify right side
    417,567.30x = 94,745,017,892.78
  5. Step 5: Solve for x
    x = 94,745,017,892.78/417,567.30
  6. Step 6: Final answer
    x = 226,897.60

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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.