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Finding the Fourth Proportional to 354,964.04, 489,851.40 and 193,820.48

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Solution

The fourth proportional to 354,964.04, 489,851.40 and 193,820.48 is: 267,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,964.04 : 489,851.40 = 193,820.48 : x
  2. Step 2: Convert to fraction form
    354,964.04/489,851.40 = 193,820.48/x
  3. Step 3: Cross multiply
    354,964.04x = 489,851.40 × 193,820.48
  4. Step 4: Simplify right side
    354,964.04x = 94,943,233,476.67
  5. Step 5: Solve for x
    x = 94,943,233,476.67/354,964.04
  6. Step 6: Final answer
    x = 267,472.82

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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.