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Finding the Fourth Proportional to 458,447.02, 687,772.58 and 150,712.91

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Solution

The fourth proportional to 458,447.02, 687,772.58 and 150,712.91 is: 226,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,447.02 : 687,772.58 = 150,712.91 : x
  2. Step 2: Convert to fraction form
    458,447.02/687,772.58 = 150,712.91/x
  3. Step 3: Cross multiply
    458,447.02x = 687,772.58 × 150,712.91
  4. Step 4: Simplify right side
    458,447.02x = 103,656,203,511.15
  5. Step 5: Solve for x
    x = 103,656,203,511.15/458,447.02
  6. Step 6: Final answer
    x = 226,102.91

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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.