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Finding the Fourth Proportional to 456,080.80, 684,121.20 and 189,752.80

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Solution

The fourth proportional to 456,080.80, 684,121.20 and 189,752.80 is: 284,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,080.80 : 684,121.20 = 189,752.80 : x
  2. Step 2: Convert to fraction form
    456,080.80/684,121.20 = 189,752.80/x
  3. Step 3: Cross multiply
    456,080.80x = 684,121.20 × 189,752.80
  4. Step 4: Simplify right side
    456,080.80x = 129,813,913,239.36
  5. Step 5: Solve for x
    x = 129,813,913,239.36/456,080.80
  6. Step 6: Final answer
    x = 284,629.20

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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.