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Finding the Fourth Proportional to 417,546.68, 576,214.29 and 226,560.02

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Solution

The fourth proportional to 417,546.68, 576,214.29 and 226,560.02 is: 312,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,546.68 : 576,214.29 = 226,560.02 : x
  2. Step 2: Convert to fraction form
    417,546.68/576,214.29 = 226,560.02/x
  3. Step 3: Cross multiply
    417,546.68x = 576,214.29 × 226,560.02
  4. Step 4: Simplify right side
    417,546.68x = 130,547,118,185.61
  5. Step 5: Solve for x
    x = 130,547,118,185.61/417,546.68
  6. Step 6: Final answer
    x = 312,652.75

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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.