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Finding the Fourth Proportional to 410,663.46, 566,709.50 and 229,378.04

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Solution

The fourth proportional to 410,663.46, 566,709.50 and 229,378.04 is: 316,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,663.46 : 566,709.50 = 229,378.04 : x
  2. Step 2: Convert to fraction form
    410,663.46/566,709.50 = 229,378.04/x
  3. Step 3: Cross multiply
    410,663.46x = 566,709.50 × 229,378.04
  4. Step 4: Simplify right side
    410,663.46x = 129,990,714,359.38
  5. Step 5: Solve for x
    x = 129,990,714,359.38/410,663.46
  6. Step 6: Final answer
    x = 316,538.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.