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Finding the Fourth Proportional to 512,020.28, 706,586.80 and 297,286.04

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Solution

The fourth proportional to 512,020.28, 706,586.80 and 297,286.04 is: 410,254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,020.28 : 706,586.80 = 297,286.04 : x
  2. Step 2: Convert to fraction form
    512,020.28/706,586.80 = 297,286.04/x
  3. Step 3: Cross multiply
    512,020.28x = 706,586.80 × 297,286.04
  4. Step 4: Simplify right side
    512,020.28x = 210,058,391,688.27
  5. Step 5: Solve for x
    x = 210,058,391,688.27/512,020.28
  6. Step 6: Final answer
    x = 410,254.05

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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.