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Finding the Fourth Proportional to 354,971.95, 489,859.38 and 193,827.11

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Solution

The fourth proportional to 354,971.95, 489,859.38 and 193,827.11 is: 267,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,971.95 : 489,859.38 = 193,827.11 : x
  2. Step 2: Convert to fraction form
    354,971.95/489,859.38 = 193,827.11/x
  3. Step 3: Cross multiply
    354,971.95x = 489,859.38 × 193,827.11
  4. Step 4: Simplify right side
    354,971.95x = 94,948,025,482.49
  5. Step 5: Solve for x
    x = 94,948,025,482.49/354,971.95
  6. Step 6: Final answer
    x = 267,480.36

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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.