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Finding the Fourth Proportional to 423,243.34, 584,084.73 and 232,255.06

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Solution

The fourth proportional to 423,243.34, 584,084.73 and 232,255.06 is: 320,516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,243.34 : 584,084.73 = 232,255.06 : x
  2. Step 2: Convert to fraction form
    423,243.34/584,084.73 = 232,255.06/x
  3. Step 3: Cross multiply
    423,243.34x = 584,084.73 × 232,255.06
  4. Step 4: Simplify right side
    423,243.34x = 135,656,634,011.23
  5. Step 5: Solve for x
    x = 135,656,634,011.23/423,243.34
  6. Step 6: Final answer
    x = 320,516.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.