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Finding the Fourth Proportional to 416,050.80, 623,989.80 and 179,401.20

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Solution

The fourth proportional to 416,050.80, 623,989.80 and 179,401.20 is: 269,064.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,050.80 : 623,989.80 = 179,401.20 : x
  2. Step 2: Convert to fraction form
    416,050.80/623,989.80 = 179,401.20/x
  3. Step 3: Cross multiply
    416,050.80x = 623,989.80 × 179,401.20
  4. Step 4: Simplify right side
    416,050.80x = 111,944,518,907.76
  5. Step 5: Solve for x
    x = 111,944,518,907.76/416,050.80
  6. Step 6: Final answer
    x = 269,064.54

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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.