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Finding the Fourth Proportional to 283,645.56, 391,448.92 and 156,333

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Solution

The fourth proportional to 283,645.56, 391,448.92 and 156,333 is: 215,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,645.56 : 391,448.92 = 156,333 : x
  2. Step 2: Convert to fraction form
    283,645.56/391,448.92 = 156,333/x
  3. Step 3: Cross multiply
    283,645.56x = 391,448.92 × 156,333
  4. Step 4: Simplify right side
    283,645.56x = 61,196,384,010.36
  5. Step 5: Solve for x
    x = 61,196,384,010.36/283,645.56
  6. Step 6: Final answer
    x = 215,749.49

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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.