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Finding the Fourth Proportional to 410,458.74, 566,444.37 and 229,163.70

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Solution

The fourth proportional to 410,458.74, 566,444.37 and 229,163.70 is: 316,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,458.74 : 566,444.37 = 229,163.70 : x
  2. Step 2: Convert to fraction form
    410,458.74/566,444.37 = 229,163.70/x
  3. Step 3: Cross multiply
    410,458.74x = 566,444.37 × 229,163.70
  4. Step 4: Simplify right side
    410,458.74x = 129,808,487,673.37
  5. Step 5: Solve for x
    x = 129,808,487,673.37/410,458.74
  6. Step 6: Final answer
    x = 316,252.22

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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.