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Finding the Fourth Proportional to 587,641.56, 881,468.10 and 232,742.04

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Solution

The fourth proportional to 587,641.56, 881,468.10 and 232,742.04 is: 349,115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,641.56 : 881,468.10 = 232,742.04 : x
  2. Step 2: Convert to fraction form
    587,641.56/881,468.10 = 232,742.04/x
  3. Step 3: Cross multiply
    587,641.56x = 881,468.10 × 232,742.04
  4. Step 4: Simplify right side
    587,641.56x = 205,154,683,788.92
  5. Step 5: Solve for x
    x = 205,154,683,788.92/587,641.56
  6. Step 6: Final answer
    x = 349,115.34

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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.