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Finding the Fourth Proportional to 458,472.40, 687,708.60 and 142,926.80

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Solution

The fourth proportional to 458,472.40, 687,708.60 and 142,926.80 is: 214,390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,472.40 : 687,708.60 = 142,926.80 : x
  2. Step 2: Convert to fraction form
    458,472.40/687,708.60 = 142,926.80/x
  3. Step 3: Cross multiply
    458,472.40x = 687,708.60 × 142,926.80
  4. Step 4: Simplify right side
    458,472.40x = 98,291,989,530.48
  5. Step 5: Solve for x
    x = 98,291,989,530.48/458,472.40
  6. Step 6: Final answer
    x = 214,390.20

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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.