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Finding the Fourth Proportional to 287,221, 396,374.10 and 179,756.68

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Solution

The fourth proportional to 287,221, 396,374.10 and 179,756.68 is: 248,069.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,221 : 396,374.10 = 179,756.68 : x
  2. Step 2: Convert to fraction form
    287,221/396,374.10 = 179,756.68/x
  3. Step 3: Cross multiply
    287,221x = 396,374.10 × 179,756.68
  4. Step 4: Simplify right side
    287,221x = 71,250,892,253.99
  5. Step 5: Solve for x
    x = 71,250,892,253.99/287,221
  6. Step 6: Final answer
    x = 248,069.93

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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.