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Finding the Fourth Proportional to 514,480.35, 771,749.69 and 159,544.83

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Solution

The fourth proportional to 514,480.35, 771,749.69 and 159,544.83 is: 239,326.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,480.35 : 771,749.69 = 159,544.83 : x
  2. Step 2: Convert to fraction form
    514,480.35/771,749.69 = 159,544.83/x
  3. Step 3: Cross multiply
    514,480.35x = 771,749.69 × 159,544.83
  4. Step 4: Simplify right side
    514,480.35x = 123,128,672,295.88
  5. Step 5: Solve for x
    x = 123,128,672,295.88/514,480.35
  6. Step 6: Final answer
    x = 239,326.29

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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.