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Finding the Fourth Proportional to 415,531.95, 573,399.67 and 234,288.42

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Solution

The fourth proportional to 415,531.95, 573,399.67 and 234,288.42 is: 323,298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,531.95 : 573,399.67 = 234,288.42 : x
  2. Step 2: Convert to fraction form
    415,531.95/573,399.67 = 234,288.42/x
  3. Step 3: Cross multiply
    415,531.95x = 573,399.67 × 234,288.42
  4. Step 4: Simplify right side
    415,531.95x = 134,340,901,541.38
  5. Step 5: Solve for x
    x = 134,340,901,541.38/415,531.95
  6. Step 6: Final answer
    x = 323,298.61

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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.