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Finding the Fourth Proportional to 410,813.21, 566,865.88 and 229,502.61

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Solution

The fourth proportional to 410,813.21, 566,865.88 and 229,502.61 is: 316,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,813.21 : 566,865.88 = 229,502.61 : x
  2. Step 2: Convert to fraction form
    410,813.21/566,865.88 = 229,502.61/x
  3. Step 3: Cross multiply
    410,813.21x = 566,865.88 × 229,502.61
  4. Step 4: Simplify right side
    410,813.21x = 130,097,198,406.19
  5. Step 5: Solve for x
    x = 130,097,198,406.19/410,813.21
  6. Step 6: Final answer
    x = 316,682.12

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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.