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Finding the Fourth Proportional to 512,191.45, 706,863.31 and 282,792.77

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Solution

The fourth proportional to 512,191.45, 706,863.31 and 282,792.77 is: 390,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,191.45 : 706,863.31 = 282,792.77 : x
  2. Step 2: Convert to fraction form
    512,191.45/706,863.31 = 282,792.77/x
  3. Step 3: Cross multiply
    512,191.45x = 706,863.31 × 282,792.77
  4. Step 4: Simplify right side
    512,191.45x = 199,895,831,855.71
  5. Step 5: Solve for x
    x = 199,895,831,855.71/512,191.45
  6. Step 6: Final answer
    x = 390,275.61

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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.