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Finding the Fourth Proportional to 463,868.42, 640,027.49 and 270,158.54

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Solution

The fourth proportional to 463,868.42, 640,027.49 and 270,158.54 is: 372,754.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,868.42 : 640,027.49 = 270,158.54 : x
  2. Step 2: Convert to fraction form
    463,868.42/640,027.49 = 270,158.54/x
  3. Step 3: Cross multiply
    463,868.42x = 640,027.49 × 270,158.54
  4. Step 4: Simplify right side
    463,868.42x = 172,908,887,707.33
  5. Step 5: Solve for x
    x = 172,908,887,707.33/463,868.42
  6. Step 6: Final answer
    x = 372,754.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.