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Finding the Fourth Proportional to 417,624.84, 576,322.62 and 226,638.18

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Solution

The fourth proportional to 417,624.84, 576,322.62 and 226,638.18 is: 312,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,624.84 : 576,322.62 = 226,638.18 : x
  2. Step 2: Convert to fraction form
    417,624.84/576,322.62 = 226,638.18/x
  3. Step 3: Cross multiply
    417,624.84x = 576,322.62 × 226,638.18
  4. Step 4: Simplify right side
    417,624.84x = 130,616,709,689.63
  5. Step 5: Solve for x
    x = 130,616,709,689.63/417,624.84
  6. Step 6: Final answer
    x = 312,760.87

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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.