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Finding the Fourth Proportional to 457,398, 631,209.24 and 278,550

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Solution

The fourth proportional to 457,398, 631,209.24 and 278,550 is: 384,399

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,398 : 631,209.24 = 278,550 : x
  2. Step 2: Convert to fraction form
    457,398/631,209.24 = 278,550/x
  3. Step 3: Cross multiply
    457,398x = 631,209.24 × 278,550
  4. Step 4: Simplify right side
    457,398x = 175,823,333,802
  5. Step 5: Solve for x
    x = 175,823,333,802/457,398
  6. Step 6: Final answer
    x = 384,399

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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.