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Finding the Fourth Proportional to 297,104.76, 409,871.88 and 176,251.14

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Solution

The fourth proportional to 297,104.76, 409,871.88 and 176,251.14 is: 243,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,104.76 : 409,871.88 = 176,251.14 : x
  2. Step 2: Convert to fraction form
    297,104.76/409,871.88 = 176,251.14/x
  3. Step 3: Cross multiply
    297,104.76x = 409,871.88 × 176,251.14
  4. Step 4: Simplify right side
    297,104.76x = 72,240,386,103.94
  5. Step 5: Solve for x
    x = 72,240,386,103.94/297,104.76
  6. Step 6: Final answer
    x = 243,147.86

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1.5x scale

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.