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Finding the Fourth Proportional to 564,124.80, 846,163.20 and 190,147.20

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Solution

The fourth proportional to 564,124.80, 846,163.20 and 190,147.20 is: 285,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,124.80 : 846,163.20 = 190,147.20 : x
  2. Step 2: Convert to fraction form
    564,124.80/846,163.20 = 190,147.20/x
  3. Step 3: Cross multiply
    564,124.80x = 846,163.20 × 190,147.20
  4. Step 4: Simplify right side
    564,124.80x = 160,895,563,223.04
  5. Step 5: Solve for x
    x = 160,895,563,223.04/564,124.80
  6. Step 6: Final answer
    x = 285,212.71

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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.