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Finding the Fourth Proportional to 417,755.64, 576,502.28 and 226,769.04

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Solution

The fourth proportional to 417,755.64, 576,502.28 and 226,769.04 is: 312,941.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,755.64 : 576,502.28 = 226,769.04 : x
  2. Step 2: Convert to fraction form
    417,755.64/576,502.28 = 226,769.04/x
  3. Step 3: Cross multiply
    417,755.64x = 576,502.28 × 226,769.04
  4. Step 4: Simplify right side
    417,755.64x = 130,732,868,593.41
  5. Step 5: Solve for x
    x = 130,732,868,593.41/417,755.64
  6. Step 6: Final answer
    x = 312,941.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.