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Finding the Fourth Proportional to 512,217.70, 706,866.20 and 282,775.12

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Solution

The fourth proportional to 512,217.70, 706,866.20 and 282,775.12 is: 390,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,217.70 : 706,866.20 = 282,775.12 : x
  2. Step 2: Convert to fraction form
    512,217.70/706,866.20 = 282,775.12/x
  3. Step 3: Cross multiply
    512,217.70x = 706,866.20 × 282,775.12
  4. Step 4: Simplify right side
    512,217.70x = 199,884,173,115.07
  5. Step 5: Solve for x
    x = 199,884,173,115.07/512,217.70
  6. Step 6: Final answer
    x = 390,232.85

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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.