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Finding the Fourth Proportional to 469,201.84, 703,654.13 and 169,642.78

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Solution

The fourth proportional to 469,201.84, 703,654.13 and 169,642.78 is: 254,410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,201.84 : 703,654.13 = 169,642.78 : x
  2. Step 2: Convert to fraction form
    469,201.84/703,654.13 = 169,642.78/x
  3. Step 3: Cross multiply
    469,201.84x = 703,654.13 × 169,642.78
  4. Step 4: Simplify right side
    469,201.84x = 119,369,841,923.47
  5. Step 5: Solve for x
    x = 119,369,841,923.47/469,201.84
  6. Step 6: Final answer
    x = 254,410.43

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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.