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Finding the Fourth Proportional to 527,149.60, 727,644 and 320,417.36

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Solution

The fourth proportional to 527,149.60, 727,644 and 320,417.36 is: 442,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,149.60 : 727,644 = 320,417.36 : x
  2. Step 2: Convert to fraction form
    527,149.60/727,644 = 320,417.36/x
  3. Step 3: Cross multiply
    527,149.60x = 727,644 × 320,417.36
  4. Step 4: Simplify right side
    527,149.60x = 233,149,769,499.84
  5. Step 5: Solve for x
    x = 233,149,769,499.84/527,149.60
  6. Step 6: Final answer
    x = 442,283.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.