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Finding the Fourth Proportional to 518,906.20, 778,359.30 and 144,929.20

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Solution

The fourth proportional to 518,906.20, 778,359.30 and 144,929.20 is: 217,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,906.20 : 778,359.30 = 144,929.20 : x
  2. Step 2: Convert to fraction form
    518,906.20/778,359.30 = 144,929.20/x
  3. Step 3: Cross multiply
    518,906.20x = 778,359.30 × 144,929.20
  4. Step 4: Simplify right side
    518,906.20x = 112,806,990,661.56
  5. Step 5: Solve for x
    x = 112,806,990,661.56/518,906.20
  6. Step 6: Final answer
    x = 217,393.80

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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.