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Finding the Fourth Proportional to 465,021.72, 696,947.58 and 251,781.12

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Solution

The fourth proportional to 465,021.72, 696,947.58 and 251,781.12 is: 377,354.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,021.72 : 696,947.58 = 251,781.12 : x
  2. Step 2: Convert to fraction form
    465,021.72/696,947.58 = 251,781.12/x
  3. Step 3: Cross multiply
    465,021.72x = 696,947.58 × 251,781.12
  4. Step 4: Simplify right side
    465,021.72x = 175,478,242,273.69
  5. Step 5: Solve for x
    x = 175,478,242,273.69/465,021.72
  6. Step 6: Final answer
    x = 377,354.94

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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.