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Finding the Fourth Proportional to 468,300.24, 646,264.20 and 277,243.92

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Solution

The fourth proportional to 468,300.24, 646,264.20 and 277,243.92 is: 382,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,300.24 : 646,264.20 = 277,243.92 : x
  2. Step 2: Convert to fraction form
    468,300.24/646,264.20 = 277,243.92/x
  3. Step 3: Cross multiply
    468,300.24x = 646,264.20 × 277,243.92
  4. Step 4: Simplify right side
    468,300.24x = 179,172,820,163.66
  5. Step 5: Solve for x
    x = 179,172,820,163.66/468,300.24
  6. Step 6: Final answer
    x = 382,602.45

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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.