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Finding the Fourth Proportional to 464,178.80, 640,444.32 and 267,896.48

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Solution

The fourth proportional to 464,178.80, 640,444.32 and 267,896.48 is: 369,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,178.80 : 640,444.32 = 267,896.48 : x
  2. Step 2: Convert to fraction form
    464,178.80/640,444.32 = 267,896.48/x
  3. Step 3: Cross multiply
    464,178.80x = 640,444.32 × 267,896.48
  4. Step 4: Simplify right side
    464,178.80x = 171,572,778,963.99
  5. Step 5: Solve for x
    x = 171,572,778,963.99/464,178.80
  6. Step 6: Final answer
    x = 369,626.49

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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.