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Finding the Fourth Proportional to 428,548.84, 591,357.63 and 237,545.98

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Solution

The fourth proportional to 428,548.84, 591,357.63 and 237,545.98 is: 327,791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,548.84 : 591,357.63 = 237,545.98 : x
  2. Step 2: Convert to fraction form
    428,548.84/591,357.63 = 237,545.98/x
  3. Step 3: Cross multiply
    428,548.84x = 591,357.63 × 237,545.98
  4. Step 4: Simplify right side
    428,548.84x = 140,474,624,792.04
  5. Step 5: Solve for x
    x = 140,474,624,792.04/428,548.84
  6. Step 6: Final answer
    x = 327,791.41

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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.