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Finding the Fourth Proportional to 381,838.40, 572,757.60 and 319,630.40

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Solution

The fourth proportional to 381,838.40, 572,757.60 and 319,630.40 is: 479,445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,838.40 : 572,757.60 = 319,630.40 : x
  2. Step 2: Convert to fraction form
    381,838.40/572,757.60 = 319,630.40/x
  3. Step 3: Cross multiply
    381,838.40x = 572,757.60 × 319,630.40
  4. Step 4: Simplify right side
    381,838.40x = 183,070,740,791.04
  5. Step 5: Solve for x
    x = 183,070,740,791.04/381,838.40
  6. Step 6: Final answer
    x = 479,445.60

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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.