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Finding the Fourth Proportional to 354,884.58, 489,748.14 and 193,746.42

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Solution

The fourth proportional to 354,884.58, 489,748.14 and 193,746.42 is: 267,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,884.58 : 489,748.14 = 193,746.42 : x
  2. Step 2: Convert to fraction form
    354,884.58/489,748.14 = 193,746.42/x
  3. Step 3: Cross multiply
    354,884.58x = 489,748.14 × 193,746.42
  4. Step 4: Simplify right side
    354,884.58x = 94,886,948,826.66
  5. Step 5: Solve for x
    x = 94,886,948,826.66/354,884.58
  6. Step 6: Final answer
    x = 267,374.11

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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.