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Finding the Fourth Proportional to 410,626.81, 566,658.88 and 229,341.79

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Solution

The fourth proportional to 410,626.81, 566,658.88 and 229,341.79 is: 316,488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,626.81 : 566,658.88 = 229,341.79 : x
  2. Step 2: Convert to fraction form
    410,626.81/566,658.88 = 229,341.79/x
  3. Step 3: Cross multiply
    410,626.81x = 566,658.88 × 229,341.79
  4. Step 4: Simplify right side
    410,626.81x = 129,958,561,858.60
  5. Step 5: Solve for x
    x = 129,958,561,858.60/410,626.81
  6. Step 6: Final answer
    x = 316,488.25

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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.