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Finding the Fourth Proportional to 442,899.70, 664,219.95 and 158,557.30

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Solution

The fourth proportional to 442,899.70, 664,219.95 and 158,557.30 is: 237,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,899.70 : 664,219.95 = 158,557.30 : x
  2. Step 2: Convert to fraction form
    442,899.70/664,219.95 = 158,557.30/x
  3. Step 3: Cross multiply
    442,899.70x = 664,219.95 × 158,557.30
  4. Step 4: Simplify right side
    442,899.70x = 105,316,921,878.14
  5. Step 5: Solve for x
    x = 105,316,921,878.14/442,899.70
  6. Step 6: Final answer
    x = 237,789.55

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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.