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Finding the Fourth Proportional to 296,705.64, 409,470.18 and 169,422.12

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Solution

The fourth proportional to 296,705.64, 409,470.18 and 169,422.12 is: 233,811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,705.64 : 409,470.18 = 169,422.12 : x
  2. Step 2: Convert to fraction form
    296,705.64/409,470.18 = 169,422.12/x
  3. Step 3: Cross multiply
    296,705.64x = 409,470.18 × 169,422.12
  4. Step 4: Simplify right side
    296,705.64x = 69,373,305,972.38
  5. Step 5: Solve for x
    x = 69,373,305,972.38/296,705.64
  6. Step 6: Final answer
    x = 233,811.89

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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.