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Finding the Fourth Proportional to 410,772.60, 566,810.10 and 229,462.11

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Solution

The fourth proportional to 410,772.60, 566,810.10 and 229,462.11 is: 316,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,772.60 : 566,810.10 = 229,462.11 : x
  2. Step 2: Convert to fraction form
    410,772.60/566,810.10 = 229,462.11/x
  3. Step 3: Cross multiply
    410,772.60x = 566,810.10 × 229,462.11
  4. Step 4: Simplify right side
    410,772.60x = 130,061,441,515.31
  5. Step 5: Solve for x
    x = 130,061,441,515.31/410,772.60
  6. Step 6: Final answer
    x = 316,626.38

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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.