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Finding the Fourth Proportional to 463,724.29, 695,580.92 and 261,335.67

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Solution

The fourth proportional to 463,724.29, 695,580.92 and 261,335.67 is: 392,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,724.29 : 695,580.92 = 261,335.67 : x
  2. Step 2: Convert to fraction form
    463,724.29/695,580.92 = 261,335.67/x
  3. Step 3: Cross multiply
    463,724.29x = 695,580.92 × 261,335.67
  4. Step 4: Simplify right side
    463,724.29x = 181,780,102,832.32
  5. Step 5: Solve for x
    x = 181,780,102,832.32/463,724.29
  6. Step 6: Final answer
    x = 392,000.39

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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.