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Finding the Fourth Proportional to 478,546.92, 717,776.28 and 146,122.92

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Solution

The fourth proportional to 478,546.92, 717,776.28 and 146,122.92 is: 219,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,546.92 : 717,776.28 = 146,122.92 : x
  2. Step 2: Convert to fraction form
    478,546.92/717,776.28 = 146,122.92/x
  3. Step 3: Cross multiply
    478,546.92x = 717,776.28 × 146,122.92
  4. Step 4: Simplify right side
    478,546.92x = 104,883,565,940.34
  5. Step 5: Solve for x
    x = 104,883,565,940.34/478,546.92
  6. Step 6: Final answer
    x = 219,170.91

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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.