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Finding the Fourth Proportional to 522,846.30, 784,112.40 and 185,842.65

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Solution

The fourth proportional to 522,846.30, 784,112.40 and 185,842.65 is: 278,708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,846.30 : 784,112.40 = 185,842.65 : x
  2. Step 2: Convert to fraction form
    522,846.30/784,112.40 = 185,842.65/x
  3. Step 3: Cross multiply
    522,846.30x = 784,112.40 × 185,842.65
  4. Step 4: Simplify right side
    522,846.30x = 145,721,526,313.86
  5. Step 5: Solve for x
    x = 145,721,526,313.86/522,846.30
  6. Step 6: Final answer
    x = 278,708.15

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1.5x scale

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.