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Finding the Fourth Proportional to 320,097.14, 441,722.14 and 176,854.12

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Solution

The fourth proportional to 320,097.14, 441,722.14 and 176,854.12 is: 244,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,097.14 : 441,722.14 = 176,854.12 : x
  2. Step 2: Convert to fraction form
    320,097.14/441,722.14 = 176,854.12/x
  3. Step 3: Cross multiply
    320,097.14x = 441,722.14 × 176,854.12
  4. Step 4: Simplify right side
    320,097.14x = 78,120,380,354.22
  5. Step 5: Solve for x
    x = 78,120,380,354.22/320,097.14
  6. Step 6: Final answer
    x = 244,052.10

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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.