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Finding the Fourth Proportional to 551,626.60, 827,341.26 and 146,821

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Solution

The fourth proportional to 551,626.60, 827,341.26 and 146,821 is: 220,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,626.60 : 827,341.26 = 146,821 : x
  2. Step 2: Convert to fraction form
    551,626.60/827,341.26 = 146,821/x
  3. Step 3: Cross multiply
    551,626.60x = 827,341.26 × 146,821
  4. Step 4: Simplify right side
    551,626.60x = 121,471,071,134.46
  5. Step 5: Solve for x
    x = 121,471,071,134.46/551,626.60
  6. Step 6: Final answer
    x = 220,205.25

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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.