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Finding the Fourth Proportional to 514,589.33, 771,846.93 and 159,594.14

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Solution

The fourth proportional to 514,589.33, 771,846.93 and 159,594.14 is: 239,379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,589.33 : 771,846.93 = 159,594.14 : x
  2. Step 2: Convert to fraction form
    514,589.33/771,846.93 = 159,594.14/x
  3. Step 3: Cross multiply
    514,589.33x = 771,846.93 × 159,594.14
  4. Step 4: Simplify right side
    514,589.33x = 123,182,248,934.61
  5. Step 5: Solve for x
    x = 123,182,248,934.61/514,589.33
  6. Step 6: Final answer
    x = 239,379.72

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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.