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Finding the Fourth Proportional to 467,796.54, 701,781.36 and 148,028.78

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Solution

The fourth proportional to 467,796.54, 701,781.36 and 148,028.78 is: 222,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,796.54 : 701,781.36 = 148,028.78 : x
  2. Step 2: Convert to fraction form
    467,796.54/701,781.36 = 148,028.78/x
  3. Step 3: Cross multiply
    467,796.54x = 701,781.36 × 148,028.78
  4. Step 4: Simplify right side
    467,796.54x = 103,883,838,547.54
  5. Step 5: Solve for x
    x = 103,883,838,547.54/467,796.54
  6. Step 6: Final answer
    x = 222,070.56

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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.