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Finding the Fourth Proportional to 447,298.80, 671,046.76 and 194,618.96

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Solution

The fourth proportional to 447,298.80, 671,046.76 and 194,618.96 is: 291,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,298.80 : 671,046.76 = 194,618.96 : x
  2. Step 2: Convert to fraction form
    447,298.80/671,046.76 = 194,618.96/x
  3. Step 3: Cross multiply
    447,298.80x = 671,046.76 × 194,618.96
  4. Step 4: Simplify right side
    447,298.80x = 130,598,422,542.57
  5. Step 5: Solve for x
    x = 130,598,422,542.57/447,298.80
  6. Step 6: Final answer
    x = 291,971.32

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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.