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Finding the Fourth Proportional to 296,515.28, 409,025.12 and 175,538.56

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Solution

The fourth proportional to 296,515.28, 409,025.12 and 175,538.56 is: 242,144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,515.28 : 409,025.12 = 175,538.56 : x
  2. Step 2: Convert to fraction form
    296,515.28/409,025.12 = 175,538.56/x
  3. Step 3: Cross multiply
    296,515.28x = 409,025.12 × 175,538.56
  4. Step 4: Simplify right side
    296,515.28x = 71,799,680,568.63
  5. Step 5: Solve for x
    x = 71,799,680,568.63/296,515.28
  6. Step 6: Final answer
    x = 242,144.96

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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.