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Finding the Fourth Proportional to 417,701.70, 576,429 and 226,715.18

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Solution

The fourth proportional to 417,701.70, 576,429 and 226,715.18 is: 312,867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,701.70 : 576,429 = 226,715.18 : x
  2. Step 2: Convert to fraction form
    417,701.70/576,429 = 226,715.18/x
  3. Step 3: Cross multiply
    417,701.70x = 576,429 × 226,715.18
  4. Step 4: Simplify right side
    417,701.70x = 130,685,204,492.22
  5. Step 5: Solve for x
    x = 130,685,204,492.22/417,701.70
  6. Step 6: Final answer
    x = 312,867.30

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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.