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Finding the Fourth Proportional to 334,842.80, 502,105.80 and 194,644.40

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Solution

The fourth proportional to 334,842.80, 502,105.80 and 194,644.40 is: 291,874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,842.80 : 502,105.80 = 194,644.40 : x
  2. Step 2: Convert to fraction form
    334,842.80/502,105.80 = 194,644.40/x
  3. Step 3: Cross multiply
    334,842.80x = 502,105.80 × 194,644.40
  4. Step 4: Simplify right side
    334,842.80x = 97,732,082,177.52
  5. Step 5: Solve for x
    x = 97,732,082,177.52/334,842.80
  6. Step 6: Final answer
    x = 291,874.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.