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Finding the Fourth Proportional to 467,797.53, 701,782.86 and 148,029.78

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Solution

The fourth proportional to 467,797.53, 701,782.86 and 148,029.78 is: 222,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,797.53 : 701,782.86 = 148,029.78 : x
  2. Step 2: Convert to fraction form
    467,797.53/701,782.86 = 148,029.78/x
  3. Step 3: Cross multiply
    467,797.53x = 701,782.86 × 148,029.78
  4. Step 4: Simplify right side
    467,797.53x = 103,884,762,373.57
  5. Step 5: Solve for x
    x = 103,884,762,373.57/467,797.53
  6. Step 6: Final answer
    x = 222,072.06

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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.