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Finding the Fourth Proportional to 334,758.42, 502,136.64 and 275,470.74

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Solution

The fourth proportional to 334,758.42, 502,136.64 and 275,470.74 is: 413,205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,758.42 : 502,136.64 = 275,470.74 : x
  2. Step 2: Convert to fraction form
    334,758.42/502,136.64 = 275,470.74/x
  3. Step 3: Cross multiply
    334,758.42x = 502,136.64 × 275,470.74
  4. Step 4: Simplify right side
    334,758.42x = 138,323,951,801.91
  5. Step 5: Solve for x
    x = 138,323,951,801.91/334,758.42
  6. Step 6: Final answer
    x = 413,205.30

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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.