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Finding the Fourth Proportional to 514,740.90, 772,213.41 and 159,739.77

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Solution

The fourth proportional to 514,740.90, 772,213.41 and 159,739.77 is: 239,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,740.90 : 772,213.41 = 159,739.77 : x
  2. Step 2: Convert to fraction form
    514,740.90/772,213.41 = 159,739.77/x
  3. Step 3: Cross multiply
    514,740.90x = 772,213.41 × 159,739.77
  4. Step 4: Simplify right side
    514,740.90x = 123,353,192,504.32
  5. Step 5: Solve for x
    x = 123,353,192,504.32/514,740.90
  6. Step 6: Final answer
    x = 239,641.33

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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.