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Finding the Fourth Proportional to 516,891.92, 713,206.32 and 301,990.46

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Solution

The fourth proportional to 516,891.92, 713,206.32 and 301,990.46 is: 416,685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,891.92 : 713,206.32 = 301,990.46 : x
  2. Step 2: Convert to fraction form
    516,891.92/713,206.32 = 301,990.46/x
  3. Step 3: Cross multiply
    516,891.92x = 713,206.32 × 301,990.46
  4. Step 4: Simplify right side
    516,891.92x = 215,381,503,965.00
  5. Step 5: Solve for x
    x = 215,381,503,965.00/516,891.92
  6. Step 6: Final answer
    x = 416,685.77

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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.