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Finding the Fourth Proportional to 501,847.20, 752,697.90 and 146,824.20

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Solution

The fourth proportional to 501,847.20, 752,697.90 and 146,824.20 is: 220,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,847.20 : 752,697.90 = 146,824.20 : x
  2. Step 2: Convert to fraction form
    501,847.20/752,697.90 = 146,824.20/x
  3. Step 3: Cross multiply
    501,847.20x = 752,697.90 × 146,824.20
  4. Step 4: Simplify right side
    501,847.20x = 110,514,267,009.18
  5. Step 5: Solve for x
    x = 110,514,267,009.18/501,847.20
  6. Step 6: Final answer
    x = 220,214.97

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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.