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Finding the Fourth Proportional to 467,984.52, 702,064.25 and 187,523.64

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Solution

The fourth proportional to 467,984.52, 702,064.25 and 187,523.64 is: 281,320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,984.52 : 702,064.25 = 187,523.64 : x
  2. Step 2: Convert to fraction form
    467,984.52/702,064.25 = 187,523.64/x
  3. Step 3: Cross multiply
    467,984.52x = 702,064.25 × 187,523.64
  4. Step 4: Simplify right side
    467,984.52x = 131,653,643,673.87
  5. Step 5: Solve for x
    x = 131,653,643,673.87/467,984.52
  6. Step 6: Final answer
    x = 281,320.51

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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.