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Finding the Fourth Proportional to 442,704.06, 610,931.67 and 251,729.13

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Solution

The fourth proportional to 442,704.06, 610,931.67 and 251,729.13 is: 347,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,704.06 : 610,931.67 = 251,729.13 : x
  2. Step 2: Convert to fraction form
    442,704.06/610,931.67 = 251,729.13/x
  3. Step 3: Cross multiply
    442,704.06x = 610,931.67 × 251,729.13
  4. Step 4: Simplify right side
    442,704.06x = 153,789,297,778.55
  5. Step 5: Solve for x
    x = 153,789,297,778.55/442,704.06
  6. Step 6: Final answer
    x = 347,386.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.