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Finding the Fourth Proportional to 315,906.32, 473,592.93 and 147,337.82

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Solution

The fourth proportional to 315,906.32, 473,592.93 and 147,337.82 is: 220,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,906.32 : 473,592.93 = 147,337.82 : x
  2. Step 2: Convert to fraction form
    315,906.32/473,592.93 = 147,337.82/x
  3. Step 3: Cross multiply
    315,906.32x = 473,592.93 × 147,337.82
  4. Step 4: Simplify right side
    315,906.32x = 69,778,149,873.61
  5. Step 5: Solve for x
    x = 69,778,149,873.61/315,906.32
  6. Step 6: Final answer
    x = 220,882.41

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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.