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Finding the Fourth Proportional to 624,538.38, 862,279.20 and 420,892.14

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Solution

The fourth proportional to 624,538.38, 862,279.20 and 420,892.14 is: 581,111.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,538.38 : 862,279.20 = 420,892.14 : x
  2. Step 2: Convert to fraction form
    624,538.38/862,279.20 = 420,892.14/x
  3. Step 3: Cross multiply
    624,538.38x = 862,279.20 × 420,892.14
  4. Step 4: Simplify right side
    624,538.38x = 362,926,537,765.49
  5. Step 5: Solve for x
    x = 362,926,537,765.49/624,538.38
  6. Step 6: Final answer
    x = 581,111.66

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Why These Related Problems?

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