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Finding the Fourth Proportional to 410,475.60, 566,491.36 and 229,222.57

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Solution

The fourth proportional to 410,475.60, 566,491.36 and 229,222.57 is: 316,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,475.60 : 566,491.36 = 229,222.57 : x
  2. Step 2: Convert to fraction form
    410,475.60/566,491.36 = 229,222.57/x
  3. Step 3: Cross multiply
    410,475.60x = 566,491.36 × 229,222.57
  4. Step 4: Simplify right side
    410,475.60x = 129,852,603,976.11
  5. Step 5: Solve for x
    x = 129,852,603,976.11/410,475.60
  6. Step 6: Final answer
    x = 316,346.70

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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.