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Finding the Fourth Proportional to 417,744.90, 576,488.64 and 226,758.24

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Solution

The fourth proportional to 417,744.90, 576,488.64 and 226,758.24 is: 312,926.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,744.90 : 576,488.64 = 226,758.24 : x
  2. Step 2: Convert to fraction form
    417,744.90/576,488.64 = 226,758.24/x
  3. Step 3: Cross multiply
    417,744.90x = 576,488.64 × 226,758.24
  4. Step 4: Simplify right side
    417,744.90x = 130,723,549,386.39
  5. Step 5: Solve for x
    x = 130,723,549,386.39/417,744.90
  6. Step 6: Final answer
    x = 312,926.74

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