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Finding the Fourth Proportional to 381,663.60, 572,495.40 and 293,362.80

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Solution

The fourth proportional to 381,663.60, 572,495.40 and 293,362.80 is: 440,044.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,663.60 : 572,495.40 = 293,362.80 : x
  2. Step 2: Convert to fraction form
    381,663.60/572,495.40 = 293,362.80/x
  3. Step 3: Cross multiply
    381,663.60x = 572,495.40 × 293,362.80
  4. Step 4: Simplify right side
    381,663.60x = 167,948,853,531.12
  5. Step 5: Solve for x
    x = 167,948,853,531.12/381,663.60
  6. Step 6: Final answer
    x = 440,044.20

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Why These Related Problems?

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