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Finding the Fourth Proportional to 310,498.92, 465,701.58 and 198,958.59

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Solution

The fourth proportional to 310,498.92, 465,701.58 and 198,958.59 is: 298,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,498.92 : 465,701.58 = 198,958.59 : x
  2. Step 2: Convert to fraction form
    310,498.92/465,701.58 = 198,958.59/x
  3. Step 3: Cross multiply
    310,498.92x = 465,701.58 × 198,958.59
  4. Step 4: Simplify right side
    310,498.92x = 92,655,329,717.57
  5. Step 5: Solve for x
    x = 92,655,329,717.57/310,498.92
  6. Step 6: Final answer
    x = 298,407.90

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1.5x scale

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.