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Finding the Fourth Proportional to 417,584.52, 576,268.16 and 226,597.90

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Solution

The fourth proportional to 417,584.52, 576,268.16 and 226,597.90 is: 312,705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,584.52 : 576,268.16 = 226,597.90 : x
  2. Step 2: Convert to fraction form
    417,584.52/576,268.16 = 226,597.90/x
  3. Step 3: Cross multiply
    417,584.52x = 576,268.16 × 226,597.90
  4. Step 4: Simplify right side
    417,584.52x = 130,581,154,892.86
  5. Step 5: Solve for x
    x = 130,581,154,892.86/417,584.52
  6. Step 6: Final answer
    x = 312,705.93

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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.