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Finding the Fourth Proportional to 417,678.76, 576,397.25 and 226,692.15

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Solution

The fourth proportional to 417,678.76, 576,397.25 and 226,692.15 is: 312,835.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,678.76 : 576,397.25 = 226,692.15 : x
  2. Step 2: Convert to fraction form
    417,678.76/576,397.25 = 226,692.15/x
  3. Step 3: Cross multiply
    417,678.76x = 576,397.25 × 226,692.15
  4. Step 4: Simplify right side
    417,678.76x = 130,664,731,856.59
  5. Step 5: Solve for x
    x = 130,664,731,856.59/417,678.76
  6. Step 6: Final answer
    x = 312,835.47

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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.