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Finding the Fourth Proportional to 410,750.55, 566,815.41 and 229,426.38

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Solution

The fourth proportional to 410,750.55, 566,815.41 and 229,426.38 is: 316,597.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,750.55 : 566,815.41 = 229,426.38 : x
  2. Step 2: Convert to fraction form
    410,750.55/566,815.41 = 229,426.38/x
  3. Step 3: Cross multiply
    410,750.55x = 566,815.41 × 229,426.38
  4. Step 4: Simplify right side
    410,750.55x = 130,042,407,644.52
  5. Step 5: Solve for x
    x = 130,042,407,644.52/410,750.55
  6. Step 6: Final answer
    x = 316,597.04

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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.