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Finding the Fourth Proportional to 467,904.42, 702,168.09 and 254,726.13

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Solution

The fourth proportional to 467,904.42, 702,168.09 and 254,726.13 is: 382,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,904.42 : 702,168.09 = 254,726.13 : x
  2. Step 2: Convert to fraction form
    467,904.42/702,168.09 = 254,726.13/x
  3. Step 3: Cross multiply
    467,904.42x = 702,168.09 × 254,726.13
  4. Step 4: Simplify right side
    467,904.42x = 178,860,560,175.19
  5. Step 5: Solve for x
    x = 178,860,560,175.19/467,904.42
  6. Step 6: Final answer
    x = 382,258.75

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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.