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Finding the Fourth Proportional to 416,049.47, 624,159.02 and 188,235.68

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Solution

The fourth proportional to 416,049.47, 624,159.02 and 188,235.68 is: 282,391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,049.47 : 624,159.02 = 188,235.68 : x
  2. Step 2: Convert to fraction form
    416,049.47/624,159.02 = 188,235.68/x
  3. Step 3: Cross multiply
    416,049.47x = 624,159.02 × 188,235.68
  4. Step 4: Simplify right side
    416,049.47x = 117,488,993,495.86
  5. Step 5: Solve for x
    x = 117,488,993,495.86/416,049.47
  6. Step 6: Final answer
    x = 282,391.88

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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.