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Finding the Fourth Proportional to 341,209.96, 470,963.46 and 198,016.12

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Solution

The fourth proportional to 341,209.96, 470,963.46 and 198,016.12 is: 273,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,209.96 : 470,963.46 = 198,016.12 : x
  2. Step 2: Convert to fraction form
    341,209.96/470,963.46 = 198,016.12/x
  3. Step 3: Cross multiply
    341,209.96x = 470,963.46 × 198,016.12
  4. Step 4: Simplify right side
    341,209.96x = 93,258,357,010.98
  5. Step 5: Solve for x
    x = 93,258,357,010.98/341,209.96
  6. Step 6: Final answer
    x = 273,316.63

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1.5x scale

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.