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Finding the Fourth Proportional to 423,427.73, 584,327.78 and 229,839.29

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Solution

The fourth proportional to 423,427.73, 584,327.78 and 229,839.29 is: 317,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,427.73 : 584,327.78 = 229,839.29 : x
  2. Step 2: Convert to fraction form
    423,427.73/584,327.78 = 229,839.29/x
  3. Step 3: Cross multiply
    423,427.73x = 584,327.78 × 229,839.29
  4. Step 4: Simplify right side
    423,427.73x = 134,301,478,011.64
  5. Step 5: Solve for x
    x = 134,301,478,011.64/423,427.73
  6. Step 6: Final answer
    x = 317,176.86

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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.