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Finding the Fourth Proportional to 519,718.98, 779,606 and 164,760.70

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Solution

The fourth proportional to 519,718.98, 779,606 and 164,760.70 is: 247,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,718.98 : 779,606 = 164,760.70 : x
  2. Step 2: Convert to fraction form
    519,718.98/779,606 = 164,760.70/x
  3. Step 3: Cross multiply
    519,718.98x = 779,606 × 164,760.70
  4. Step 4: Simplify right side
    519,718.98x = 128,448,430,284.20
  5. Step 5: Solve for x
    x = 128,448,430,284.20/519,718.98
  6. Step 6: Final answer
    x = 247,149.78

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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.