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Finding the Fourth Proportional to 282,599.92, 389,720.16 and 185,633.20

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Solution

The fourth proportional to 282,599.92, 389,720.16 and 185,633.20 is: 255,997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,599.92 : 389,720.16 = 185,633.20 : x
  2. Step 2: Convert to fraction form
    282,599.92/389,720.16 = 185,633.20/x
  3. Step 3: Cross multiply
    282,599.92x = 389,720.16 × 185,633.20
  4. Step 4: Simplify right side
    282,599.92x = 72,345,000,892.46
  5. Step 5: Solve for x
    x = 72,345,000,892.46/282,599.92
  6. Step 6: Final answer
    x = 255,997.95

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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.