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Finding the Fourth Proportional to 410,765.92, 566,839.20 and 229,477.12

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Solution

The fourth proportional to 410,765.92, 566,839.20 and 229,477.12 is: 316,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,765.92 : 566,839.20 = 229,477.12 : x
  2. Step 2: Convert to fraction form
    410,765.92/566,839.20 = 229,477.12/x
  3. Step 3: Cross multiply
    410,765.92x = 566,839.20 × 229,477.12
  4. Step 4: Simplify right side
    410,765.92x = 130,076,627,119.10
  5. Step 5: Solve for x
    x = 130,076,627,119.10/410,765.92
  6. Step 6: Final answer
    x = 316,668.50

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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.