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Finding the Fourth Proportional to 518,982.40, 778,327.80 and 164,105.20

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Solution

The fourth proportional to 518,982.40, 778,327.80 and 164,105.20 is: 246,111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,982.40 : 778,327.80 = 164,105.20 : x
  2. Step 2: Convert to fraction form
    518,982.40/778,327.80 = 164,105.20/x
  3. Step 3: Cross multiply
    518,982.40x = 778,327.80 × 164,105.20
  4. Step 4: Simplify right side
    518,982.40x = 127,727,639,284.56
  5. Step 5: Solve for x
    x = 127,727,639,284.56/518,982.40
  6. Step 6: Final answer
    x = 246,111.70

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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.