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Finding the Fourth Proportional to 617,041.20, 925,677.67 and 280,105.50

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Solution

The fourth proportional to 617,041.20, 925,677.67 and 280,105.50 is: 420,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,041.20 : 925,677.67 = 280,105.50 : x
  2. Step 2: Convert to fraction form
    617,041.20/925,677.67 = 280,105.50/x
  3. Step 3: Cross multiply
    617,041.20x = 925,677.67 × 280,105.50
  4. Step 4: Simplify right side
    617,041.20x = 259,287,406,594.19
  5. Step 5: Solve for x
    x = 259,287,406,594.19/617,041.20
  6. Step 6: Final answer
    x = 420,210.85

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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.