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Finding the Fourth Proportional to 387,509.80, 580,832.70 and 150,773.80

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Solution

The fourth proportional to 387,509.80, 580,832.70 and 150,773.80 is: 225,992.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,509.80 : 580,832.70 = 150,773.80 : x
  2. Step 2: Convert to fraction form
    387,509.80/580,832.70 = 150,773.80/x
  3. Step 3: Cross multiply
    387,509.80x = 580,832.70 × 150,773.80
  4. Step 4: Simplify right side
    387,509.80x = 87,574,353,343.26
  5. Step 5: Solve for x
    x = 87,574,353,343.26/387,509.80
  6. Step 6: Final answer
    x = 225,992.62

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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.