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Finding the Fourth Proportional to 465,159.72, 642,020.34 and 283,832.70

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Solution

The fourth proportional to 465,159.72, 642,020.34 and 283,832.70 is: 391,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,159.72 : 642,020.34 = 283,832.70 : x
  2. Step 2: Convert to fraction form
    465,159.72/642,020.34 = 283,832.70/x
  3. Step 3: Cross multiply
    465,159.72x = 642,020.34 × 283,832.70
  4. Step 4: Simplify right side
    465,159.72x = 182,226,366,557.12
  5. Step 5: Solve for x
    x = 182,226,366,557.12/465,159.72
  6. Step 6: Final answer
    x = 391,750.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.