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Finding the Fourth Proportional to 417,701.66, 576,429.40 and 226,715.05

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Solution

The fourth proportional to 417,701.66, 576,429.40 and 226,715.05 is: 312,867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,701.66 : 576,429.40 = 226,715.05 : x
  2. Step 2: Convert to fraction form
    417,701.66/576,429.40 = 226,715.05/x
  3. Step 3: Cross multiply
    417,701.66x = 576,429.40 × 226,715.05
  4. Step 4: Simplify right side
    417,701.66x = 130,685,216,947.29
  5. Step 5: Solve for x
    x = 130,685,216,947.29/417,701.66
  6. Step 6: Final answer
    x = 312,867.37

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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.