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Finding the Fourth Proportional to 514,550.40, 771,900.32 and 159,593.01

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Solution

The fourth proportional to 514,550.40, 771,900.32 and 159,593.01 is: 239,412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,550.40 : 771,900.32 = 159,593.01 : x
  2. Step 2: Convert to fraction form
    514,550.40/771,900.32 = 159,593.01/x
  3. Step 3: Cross multiply
    514,550.40x = 771,900.32 × 159,593.01
  4. Step 4: Simplify right side
    514,550.40x = 123,189,895,488.76
  5. Step 5: Solve for x
    x = 123,189,895,488.76/514,550.40
  6. Step 6: Final answer
    x = 239,412.69

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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.