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Finding the Fourth Proportional to 442,833.10, 664,314.45 and 232,486.90

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Solution

The fourth proportional to 442,833.10, 664,314.45 and 232,486.90 is: 348,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,833.10 : 664,314.45 = 232,486.90 : x
  2. Step 2: Convert to fraction form
    442,833.10/664,314.45 = 232,486.90/x
  3. Step 3: Cross multiply
    442,833.10x = 664,314.45 × 232,486.90
  4. Step 4: Simplify right side
    442,833.10x = 154,444,407,105.71
  5. Step 5: Solve for x
    x = 154,444,407,105.71/442,833.10
  6. Step 6: Final answer
    x = 348,764.37

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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.