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Finding the Fourth Proportional to 296,886.38, 409,729.12 and 162,776.30

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Solution

The fourth proportional to 296,886.38, 409,729.12 and 162,776.30 is: 224,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,886.38 : 409,729.12 = 162,776.30 : x
  2. Step 2: Convert to fraction form
    296,886.38/409,729.12 = 162,776.30/x
  3. Step 3: Cross multiply
    296,886.38x = 409,729.12 × 162,776.30
  4. Step 4: Simplify right side
    296,886.38x = 66,694,187,700.27
  5. Step 5: Solve for x
    x = 66,694,187,700.27/296,886.38
  6. Step 6: Final answer
    x = 224,645.50

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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.