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Finding the Fourth Proportional to 467,773.26, 701,746.44 and 148,005.63

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Solution

The fourth proportional to 467,773.26, 701,746.44 and 148,005.63 is: 222,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,773.26 : 701,746.44 = 148,005.63 : x
  2. Step 2: Convert to fraction form
    467,773.26/701,746.44 = 148,005.63/x
  3. Step 3: Cross multiply
    467,773.26x = 701,746.44 × 148,005.63
  4. Step 4: Simplify right side
    467,773.26x = 103,862,424,507.48
  5. Step 5: Solve for x
    x = 103,862,424,507.48/467,773.26
  6. Step 6: Final answer
    x = 222,035.83

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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.