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Finding the Fourth Proportional to 415,362.29, 573,216.82 and 234,081.86

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Solution

The fourth proportional to 415,362.29, 573,216.82 and 234,081.86 is: 323,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,362.29 : 573,216.82 = 234,081.86 : x
  2. Step 2: Convert to fraction form
    415,362.29/573,216.82 = 234,081.86/x
  3. Step 3: Cross multiply
    415,362.29x = 573,216.82 × 234,081.86
  4. Step 4: Simplify right side
    415,362.29x = 134,179,655,957.60
  5. Step 5: Solve for x
    x = 134,179,655,957.60/415,362.29
  6. Step 6: Final answer
    x = 323,042.46

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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.