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Finding the Fourth Proportional to 465,160.72, 642,021.72 and 283,833.70

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Solution

The fourth proportional to 465,160.72, 642,021.72 and 283,833.70 is: 391,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,160.72 : 642,021.72 = 283,833.70 : x
  2. Step 2: Convert to fraction form
    465,160.72/642,021.72 = 283,833.70/x
  3. Step 3: Cross multiply
    465,160.72x = 642,021.72 × 283,833.70
  4. Step 4: Simplify right side
    465,160.72x = 182,227,400,267.96
  5. Step 5: Solve for x
    x = 182,227,400,267.96/465,160.72
  6. Step 6: Final answer
    x = 391,751.48

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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.