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Finding the Fourth Proportional to 410,645.18, 566,684.34 and 229,359.69

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Solution

The fourth proportional to 410,645.18, 566,684.34 and 229,359.69 is: 316,513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,645.18 : 566,684.34 = 229,359.69 : x
  2. Step 2: Convert to fraction form
    410,645.18/566,684.34 = 229,359.69/x
  3. Step 3: Cross multiply
    410,645.18x = 566,684.34 × 229,359.69
  4. Step 4: Simplify right side
    410,645.18x = 129,974,544,550.26
  5. Step 5: Solve for x
    x = 129,974,544,550.26/410,645.18
  6. Step 6: Final answer
    x = 316,513.02

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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.