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Finding the Fourth Proportional to 469,209.84, 703,666.13 and 169,650.78

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Solution

The fourth proportional to 469,209.84, 703,666.13 and 169,650.78 is: 254,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,209.84 : 703,666.13 = 169,650.78 : x
  2. Step 2: Convert to fraction form
    469,209.84/703,666.13 = 169,650.78/x
  3. Step 3: Cross multiply
    469,209.84x = 703,666.13 × 169,650.78
  4. Step 4: Simplify right side
    469,209.84x = 119,377,506,965.83
  5. Step 5: Solve for x
    x = 119,377,506,965.83/469,209.84
  6. Step 6: Final answer
    x = 254,422.43

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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.