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Finding the Fourth Proportional to 413,114.40, 570,051 and 231,788.52

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Solution

The fourth proportional to 413,114.40, 570,051 and 231,788.52 is: 319,841.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,114.40 : 570,051 = 231,788.52 : x
  2. Step 2: Convert to fraction form
    413,114.40/570,051 = 231,788.52/x
  3. Step 3: Cross multiply
    413,114.40x = 570,051 × 231,788.52
  4. Step 4: Simplify right side
    413,114.40x = 132,131,277,614.52
  5. Step 5: Solve for x
    x = 132,131,277,614.52/413,114.40
  6. Step 6: Final answer
    x = 319,841.86

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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.