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Finding the Fourth Proportional to 297,523.40, 410,742.42 and 229,390.88

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Solution

The fourth proportional to 297,523.40, 410,742.42 and 229,390.88 is: 316,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,523.40 : 410,742.42 = 229,390.88 : x
  2. Step 2: Convert to fraction form
    297,523.40/410,742.42 = 229,390.88/x
  3. Step 3: Cross multiply
    297,523.40x = 410,742.42 × 229,390.88
  4. Step 4: Simplify right side
    297,523.40x = 94,220,565,177.13
  5. Step 5: Solve for x
    x = 94,220,565,177.13/297,523.40
  6. Step 6: Final answer
    x = 316,682.87

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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.