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Finding the Fourth Proportional to 464,876.33, 696,655.29 and 194,713.34

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Solution

The fourth proportional to 464,876.33, 696,655.29 and 194,713.34 is: 291,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,876.33 : 696,655.29 = 194,713.34 : x
  2. Step 2: Convert to fraction form
    464,876.33/696,655.29 = 194,713.34/x
  3. Step 3: Cross multiply
    464,876.33x = 696,655.29 × 194,713.34
  4. Step 4: Simplify right side
    464,876.33x = 135,648,078,344.57
  5. Step 5: Solve for x
    x = 135,648,078,344.57/464,876.33
  6. Step 6: Final answer
    x = 291,793.90

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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.