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Finding the Fourth Proportional to 415,731.42, 573,664.95 and 234,439.38

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Solution

The fourth proportional to 415,731.42, 573,664.95 and 234,439.38 is: 323,501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,731.42 : 573,664.95 = 234,439.38 : x
  2. Step 2: Convert to fraction form
    415,731.42/573,664.95 = 234,439.38/x
  3. Step 3: Cross multiply
    415,731.42x = 573,664.95 × 234,439.38
  4. Step 4: Simplify right side
    415,731.42x = 134,489,655,205.73
  5. Step 5: Solve for x
    x = 134,489,655,205.73/415,731.42
  6. Step 6: Final answer
    x = 323,501.30

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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.