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Finding the Fourth Proportional to 410,491.14, 566,471.90 and 229,205.93

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Solution

The fourth proportional to 410,491.14, 566,471.90 and 229,205.93 is: 316,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,491.14 : 566,471.90 = 229,205.93 : x
  2. Step 2: Convert to fraction form
    410,491.14/566,471.90 = 229,205.93/x
  3. Step 3: Cross multiply
    410,491.14x = 566,471.90 × 229,205.93
  4. Step 4: Simplify right side
    410,491.14x = 129,838,714,679.98
  5. Step 5: Solve for x
    x = 129,838,714,679.98/410,491.14
  6. Step 6: Final answer
    x = 316,300.89

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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.