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Finding the Fourth Proportional to 458,156.40, 687,285.80 and 142,610.80

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Solution

The fourth proportional to 458,156.40, 687,285.80 and 142,610.80 is: 213,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,156.40 : 687,285.80 = 142,610.80 : x
  2. Step 2: Convert to fraction form
    458,156.40/687,285.80 = 142,610.80/x
  3. Step 3: Cross multiply
    458,156.40x = 687,285.80 × 142,610.80
  4. Step 4: Simplify right side
    458,156.40x = 98,014,377,766.64
  5. Step 5: Solve for x
    x = 98,014,377,766.64/458,156.40
  6. Step 6: Final answer
    x = 213,932.14

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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.