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Finding the Fourth Proportional to 516,233.88, 712,446.90 and 301,442.52

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Solution

The fourth proportional to 516,233.88, 712,446.90 and 301,442.52 is: 416,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,233.88 : 712,446.90 = 301,442.52 : x
  2. Step 2: Convert to fraction form
    516,233.88/712,446.90 = 301,442.52/x
  3. Step 3: Cross multiply
    516,233.88x = 712,446.90 × 301,442.52
  4. Step 4: Simplify right side
    516,233.88x = 214,761,788,902.19
  5. Step 5: Solve for x
    x = 214,761,788,902.19/516,233.88
  6. Step 6: Final answer
    x = 416,016.46

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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.