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Finding the Fourth Proportional to 309,043.35, 462,734.48 and 196,112.14

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Solution

The fourth proportional to 309,043.35, 462,734.48 and 196,112.14 is: 293,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,043.35 : 462,734.48 = 196,112.14 : x
  2. Step 2: Convert to fraction form
    309,043.35/462,734.48 = 196,112.14/x
  3. Step 3: Cross multiply
    309,043.35x = 462,734.48 × 196,112.14
  4. Step 4: Simplify right side
    309,043.35x = 90,747,849,124.59
  5. Step 5: Solve for x
    x = 90,747,849,124.59/309,043.35
  6. Step 6: Final answer
    x = 293,641.16

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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.