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Finding the Fourth Proportional to 601,655.57, 902,286.50 and 281,708.40

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Solution

The fourth proportional to 601,655.57, 902,286.50 and 281,708.40 is: 422,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,655.57 : 902,286.50 = 281,708.40 : x
  2. Step 2: Convert to fraction form
    601,655.57/902,286.50 = 281,708.40/x
  3. Step 3: Cross multiply
    601,655.57x = 902,286.50 × 281,708.40
  4. Step 4: Simplify right side
    601,655.57x = 254,181,684,848.06
  5. Step 5: Solve for x
    x = 254,181,684,848.06/601,655.57
  6. Step 6: Final answer
    x = 422,470.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.