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Finding the Fourth Proportional to 512,121.95, 706,724.39 and 282,679.21

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Solution

The fourth proportional to 512,121.95, 706,724.39 and 282,679.21 is: 390,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,121.95 : 706,724.39 = 282,679.21 : x
  2. Step 2: Convert to fraction form
    512,121.95/706,724.39 = 282,679.21/x
  3. Step 3: Cross multiply
    512,121.95x = 706,724.39 × 282,679.21
  4. Step 4: Simplify right side
    512,121.95x = 199,776,289,867.71
  5. Step 5: Solve for x
    x = 199,776,289,867.71/512,121.95
  6. Step 6: Final answer
    x = 390,095.15

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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.