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Finding the Fourth Proportional to 410,701.26, 566,751.15 and 229,410.30

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Solution

The fourth proportional to 410,701.26, 566,751.15 and 229,410.30 is: 316,576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,701.26 : 566,751.15 = 229,410.30 : x
  2. Step 2: Convert to fraction form
    410,701.26/566,751.15 = 229,410.30/x
  3. Step 3: Cross multiply
    410,701.26x = 566,751.15 × 229,410.30
  4. Step 4: Simplify right side
    410,701.26x = 130,018,551,346.85
  5. Step 5: Solve for x
    x = 130,018,551,346.85/410,701.26
  6. Step 6: Final answer
    x = 316,576.95

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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.