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Finding the Fourth Proportional to 354,693.56, 489,478.37 and 193,552.16

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Solution

The fourth proportional to 354,693.56, 489,478.37 and 193,552.16 is: 267,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,693.56 : 489,478.37 = 193,552.16 : x
  2. Step 2: Convert to fraction form
    354,693.56/489,478.37 = 193,552.16/x
  3. Step 3: Cross multiply
    354,693.56x = 489,478.37 × 193,552.16
  4. Step 4: Simplify right side
    354,693.56x = 94,739,592,371.63
  5. Step 5: Solve for x
    x = 94,739,592,371.63/354,693.56
  6. Step 6: Final answer
    x = 267,102.66

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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.