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Finding the Fourth Proportional to 532,213.05, 798,447.15 and 177,230.15

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Solution

The fourth proportional to 532,213.05, 798,447.15 and 177,230.15 is: 265,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,213.05 : 798,447.15 = 177,230.15 : x
  2. Step 2: Convert to fraction form
    532,213.05/798,447.15 = 177,230.15/x
  3. Step 3: Cross multiply
    532,213.05x = 798,447.15 × 177,230.15
  4. Step 4: Simplify right side
    532,213.05x = 141,508,904,169.34
  5. Step 5: Solve for x
    x = 141,508,904,169.34/532,213.05
  6. Step 6: Final answer
    x = 265,887.70

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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.