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Finding the Fourth Proportional to 342,024.40, 472,308.60 and 229,175.20

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Solution

The fourth proportional to 342,024.40, 472,308.60 and 229,175.20 is: 316,472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,024.40 : 472,308.60 = 229,175.20 : x
  2. Step 2: Convert to fraction form
    342,024.40/472,308.60 = 229,175.20/x
  3. Step 3: Cross multiply
    342,024.40x = 472,308.60 × 229,175.20
  4. Step 4: Simplify right side
    342,024.40x = 108,241,417,866.72
  5. Step 5: Solve for x
    x = 108,241,417,866.72/342,024.40
  6. Step 6: Final answer
    x = 316,472.80

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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.