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Finding the Fourth Proportional to 456,704.41, 685,122.18 and 141,185.92

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Solution

The fourth proportional to 456,704.41, 685,122.18 and 141,185.92 is: 211,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,704.41 : 685,122.18 = 141,185.92 : x
  2. Step 2: Convert to fraction form
    456,704.41/685,122.18 = 141,185.92/x
  3. Step 3: Cross multiply
    456,704.41x = 685,122.18 × 141,185.92
  4. Step 4: Simplify right side
    456,704.41x = 96,729,605,295.71
  5. Step 5: Solve for x
    x = 96,729,605,295.71/456,704.41
  6. Step 6: Final answer
    x = 211,799.15

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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.