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Finding the Fourth Proportional to 354,806.91, 532,445.40 and 194,994.45

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Solution

The fourth proportional to 354,806.91, 532,445.40 and 194,994.45 is: 292,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,806.91 : 532,445.40 = 194,994.45 : x
  2. Step 2: Convert to fraction form
    354,806.91/532,445.40 = 194,994.45/x
  3. Step 3: Cross multiply
    354,806.91x = 532,445.40 × 194,994.45
  4. Step 4: Simplify right side
    354,806.91x = 103,823,897,928.03
  5. Step 5: Solve for x
    x = 103,823,897,928.03/354,806.91
  6. Step 6: Final answer
    x = 292,620.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.