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Finding the Fourth Proportional to 432,230.13, 647,901.80 and 165,918.93

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Solution

The fourth proportional to 432,230.13, 647,901.80 and 165,918.93 is: 248,708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,230.13 : 647,901.80 = 165,918.93 : x
  2. Step 2: Convert to fraction form
    432,230.13/647,901.80 = 165,918.93/x
  3. Step 3: Cross multiply
    432,230.13x = 647,901.80 × 165,918.93
  4. Step 4: Simplify right side
    432,230.13x = 107,499,172,571.48
  5. Step 5: Solve for x
    x = 107,499,172,571.48/432,230.13
  6. Step 6: Final answer
    x = 248,708.19

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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.