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Finding the Fourth Proportional to 512,169.92, 706,841.52 and 282,768.20

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Solution

The fourth proportional to 512,169.92, 706,841.52 and 282,768.20 is: 390,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,169.92 : 706,841.52 = 282,768.20 : x
  2. Step 2: Convert to fraction form
    512,169.92/706,841.52 = 282,768.20/x
  3. Step 3: Cross multiply
    512,169.92x = 706,841.52 × 282,768.20
  4. Step 4: Simplify right side
    512,169.92x = 199,872,304,295.66
  5. Step 5: Solve for x
    x = 199,872,304,295.66/512,169.92
  6. Step 6: Final answer
    x = 390,246.08

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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.