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Finding the Fourth Proportional to 386,206.65, 578,776.73 and 278,733.83

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Solution

The fourth proportional to 386,206.65, 578,776.73 and 278,733.83 is: 417,715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,206.65 : 578,776.73 = 278,733.83 : x
  2. Step 2: Convert to fraction form
    386,206.65/578,776.73 = 278,733.83/x
  3. Step 3: Cross multiply
    386,206.65x = 578,776.73 × 278,733.83
  4. Step 4: Simplify right side
    386,206.65x = 161,324,650,380.22
  5. Step 5: Solve for x
    x = 161,324,650,380.22/386,206.65
  6. Step 6: Final answer
    x = 417,715.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.