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Finding the Fourth Proportional to 354,806.40, 532,444.64 and 194,993.92

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Solution

The fourth proportional to 354,806.40, 532,444.64 and 194,993.92 is: 292,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,806.40 : 532,444.64 = 194,993.92 : x
  2. Step 2: Convert to fraction form
    354,806.40/532,444.64 = 194,993.92/x
  3. Step 3: Cross multiply
    354,806.40x = 532,444.64 × 194,993.92
  4. Step 4: Simplify right side
    354,806.40x = 103,823,467,536.59
  5. Step 5: Solve for x
    x = 103,823,467,536.59/354,806.40
  6. Step 6: Final answer
    x = 292,620.05

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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.