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Finding the Fourth Proportional to 401,788.74, 554,463.75 and 232,019.22

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Solution

The fourth proportional to 401,788.74, 554,463.75 and 232,019.22 is: 320,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,788.74 : 554,463.75 = 232,019.22 : x
  2. Step 2: Convert to fraction form
    401,788.74/554,463.75 = 232,019.22/x
  3. Step 3: Cross multiply
    401,788.74x = 554,463.75 × 232,019.22
  4. Step 4: Simplify right side
    401,788.74x = 128,646,246,793.28
  5. Step 5: Solve for x
    x = 128,646,246,793.28/401,788.74
  6. Step 6: Final answer
    x = 320,183.80

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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.