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Finding the Fourth Proportional to 512,138.19, 706,750.59 and 282,695.42

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Solution

The fourth proportional to 512,138.19, 706,750.59 and 282,695.42 is: 390,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,138.19 : 706,750.59 = 282,695.42 : x
  2. Step 2: Convert to fraction form
    512,138.19/706,750.59 = 282,695.42/x
  3. Step 3: Cross multiply
    512,138.19x = 706,750.59 × 282,695.42
  4. Step 4: Simplify right side
    512,138.19x = 199,795,154,168.56
  5. Step 5: Solve for x
    x = 199,795,154,168.56/512,138.19
  6. Step 6: Final answer
    x = 390,119.62

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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.