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Finding the Fourth Proportional to 416,810.88, 625,142.88 and 117,220.32

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Solution

The fourth proportional to 416,810.88, 625,142.88 and 117,220.32 is: 175,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,810.88 : 625,142.88 = 117,220.32 : x
  2. Step 2: Convert to fraction form
    416,810.88/625,142.88 = 117,220.32/x
  3. Step 3: Cross multiply
    416,810.88x = 625,142.88 × 117,220.32
  4. Step 4: Simplify right side
    416,810.88x = 73,279,448,439.32
  5. Step 5: Solve for x
    x = 73,279,448,439.32/416,810.88
  6. Step 6: Final answer
    x = 175,809.83

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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.