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Finding the Fourth Proportional to 416,285.29, 574,475.39 and 225,298.63

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Solution

The fourth proportional to 416,285.29, 574,475.39 and 225,298.63 is: 310,913.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,285.29 : 574,475.39 = 225,298.63 : x
  2. Step 2: Convert to fraction form
    416,285.29/574,475.39 = 225,298.63/x
  3. Step 3: Cross multiply
    416,285.29x = 574,475.39 × 225,298.63
  4. Step 4: Simplify right side
    416,285.29x = 129,428,518,335.72
  5. Step 5: Solve for x
    x = 129,428,518,335.72/416,285.29
  6. Step 6: Final answer
    x = 310,913.02

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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.