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Finding the Fourth Proportional to 416,136.48, 623,705.76 and 238,765.92

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Solution

The fourth proportional to 416,136.48, 623,705.76 and 238,765.92 is: 357,862.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,136.48 : 623,705.76 = 238,765.92 : x
  2. Step 2: Convert to fraction form
    416,136.48/623,705.76 = 238,765.92/x
  3. Step 3: Cross multiply
    416,136.48x = 623,705.76 × 238,765.92
  4. Step 4: Simplify right side
    416,136.48x = 148,919,679,595.70
  5. Step 5: Solve for x
    x = 148,919,679,595.70/416,136.48
  6. Step 6: Final answer
    x = 357,862.59

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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.