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Finding the Fourth Proportional to 616,723.20, 925,148.25 and 232,795.43

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Solution

The fourth proportional to 616,723.20, 925,148.25 and 232,795.43 is: 349,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,723.20 : 925,148.25 = 232,795.43 : x
  2. Step 2: Convert to fraction form
    616,723.20/925,148.25 = 232,795.43/x
  3. Step 3: Cross multiply
    616,723.20x = 925,148.25 × 232,795.43
  4. Step 4: Simplify right side
    616,723.20x = 215,370,284,672.50
  5. Step 5: Solve for x
    x = 215,370,284,672.50/616,723.20
  6. Step 6: Final answer
    x = 349,217.10

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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.