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Finding the Fourth Proportional to 338,593.76, 467,264.64 and 185,645.91

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Solution

The fourth proportional to 338,593.76, 467,264.64 and 185,645.91 is: 256,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,593.76 : 467,264.64 = 185,645.91 : x
  2. Step 2: Convert to fraction form
    338,593.76/467,264.64 = 185,645.91/x
  3. Step 3: Cross multiply
    338,593.76x = 467,264.64 × 185,645.91
  4. Step 4: Simplify right side
    338,593.76x = 86,745,769,303.62
  5. Step 5: Solve for x
    x = 86,745,769,303.62/338,593.76
  6. Step 6: Final answer
    x = 256,194.24

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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.