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Finding the Fourth Proportional to 415,864.34, 573,892.08 and 234,575.72

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Solution

The fourth proportional to 415,864.34, 573,892.08 and 234,575.72 is: 323,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,864.34 : 573,892.08 = 234,575.72 : x
  2. Step 2: Convert to fraction form
    415,864.34/573,892.08 = 234,575.72/x
  3. Step 3: Cross multiply
    415,864.34x = 573,892.08 × 234,575.72
  4. Step 4: Simplify right side
    415,864.34x = 134,621,147,868.30
  5. Step 5: Solve for x
    x = 134,621,147,868.30/415,864.34
  6. Step 6: Final answer
    x = 323,714.09

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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.