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Finding the Fourth Proportional to 512,195.13, 706,830.33 and 282,752.73

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Solution

The fourth proportional to 512,195.13, 706,830.33 and 282,752.73 is: 390,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,195.13 : 706,830.33 = 282,752.73 : x
  2. Step 2: Convert to fraction form
    512,195.13/706,830.33 = 282,752.73/x
  3. Step 3: Cross multiply
    512,195.13x = 706,830.33 × 282,752.73
  4. Step 4: Simplify right side
    512,195.13x = 199,858,205,454.30
  5. Step 5: Solve for x
    x = 199,858,205,454.30/512,195.13
  6. Step 6: Final answer
    x = 390,199.35

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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.