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Finding the Fourth Proportional to 522,061.20, 782,435.70 and 255,247.20

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Solution

The fourth proportional to 522,061.20, 782,435.70 and 255,247.20 is: 382,550.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,061.20 : 782,435.70 = 255,247.20 : x
  2. Step 2: Convert to fraction form
    522,061.20/782,435.70 = 255,247.20/x
  3. Step 3: Cross multiply
    522,061.20x = 782,435.70 × 255,247.20
  4. Step 4: Simplify right side
    522,061.20x = 199,714,521,605.04
  5. Step 5: Solve for x
    x = 199,714,521,605.04/522,061.20
  6. Step 6: Final answer
    x = 382,550.02

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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.