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Finding the Fourth Proportional to 438,022.60, 658,416.30 and 413,139.40

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Solution

The fourth proportional to 438,022.60, 658,416.30 and 413,139.40 is: 621,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,022.60 : 658,416.30 = 413,139.40 : x
  2. Step 2: Convert to fraction form
    438,022.60/658,416.30 = 413,139.40/x
  3. Step 3: Cross multiply
    438,022.60x = 658,416.30 × 413,139.40
  4. Step 4: Simplify right side
    438,022.60x = 272,017,715,132.22
  5. Step 5: Solve for x
    x = 272,017,715,132.22/438,022.60
  6. Step 6: Final answer
    x = 621,012.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.