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Finding the Fourth Proportional to 423,204.80, 584,021.01 and 232,221.38

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Solution

The fourth proportional to 423,204.80, 584,021.01 and 232,221.38 is: 320,464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,204.80 : 584,021.01 = 232,221.38 : x
  2. Step 2: Convert to fraction form
    423,204.80/584,021.01 = 232,221.38/x
  3. Step 3: Cross multiply
    423,204.80x = 584,021.01 × 232,221.38
  4. Step 4: Simplify right side
    423,204.80x = 135,622,161,971.09
  5. Step 5: Solve for x
    x = 135,622,161,971.09/423,204.80
  6. Step 6: Final answer
    x = 320,464.62

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Double scale
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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.