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Finding the Fourth Proportional to 467,098.64, 700,540.43 and 182,795.93

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Solution

The fourth proportional to 467,098.64, 700,540.43 and 182,795.93 is: 274,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,098.64 : 700,540.43 = 182,795.93 : x
  2. Step 2: Convert to fraction form
    467,098.64/700,540.43 = 182,795.93/x
  3. Step 3: Cross multiply
    467,098.64x = 700,540.43 × 182,795.93
  4. Step 4: Simplify right side
    467,098.64x = 128,055,939,404.45
  5. Step 5: Solve for x
    x = 128,055,939,404.45/467,098.64
  6. Step 6: Final answer
    x = 274,151.81

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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.