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Finding the Fourth Proportional to 463,812.48, 640,077.12 and 270,207.36

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Solution

The fourth proportional to 463,812.48, 640,077.12 and 270,207.36 is: 372,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,812.48 : 640,077.12 = 270,207.36 : x
  2. Step 2: Convert to fraction form
    463,812.48/640,077.12 = 270,207.36/x
  3. Step 3: Cross multiply
    463,812.48x = 640,077.12 × 270,207.36
  4. Step 4: Simplify right side
    463,812.48x = 172,953,548,791.60
  5. Step 5: Solve for x
    x = 172,953,548,791.60/463,812.48
  6. Step 6: Final answer
    x = 372,895.42

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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.