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Finding the Fourth Proportional to 341,121.96, 470,780.52 and 195,948

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Solution

The fourth proportional to 341,121.96, 470,780.52 and 195,948 is: 270,426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,121.96 : 470,780.52 = 195,948 : x
  2. Step 2: Convert to fraction form
    341,121.96/470,780.52 = 195,948/x
  3. Step 3: Cross multiply
    341,121.96x = 470,780.52 × 195,948
  4. Step 4: Simplify right side
    341,121.96x = 92,248,501,332.96
  5. Step 5: Solve for x
    x = 92,248,501,332.96/341,121.96
  6. Step 6: Final answer
    x = 270,426.75

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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.