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Finding the Fourth Proportional to 601,659.40, 902,732.10 and 264,764.20

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Solution

The fourth proportional to 601,659.40, 902,732.10 and 264,764.20 is: 397,253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,659.40 : 902,732.10 = 264,764.20 : x
  2. Step 2: Convert to fraction form
    601,659.40/902,732.10 = 264,764.20/x
  3. Step 3: Cross multiply
    601,659.40x = 902,732.10 × 264,764.20
  4. Step 4: Simplify right side
    601,659.40x = 239,011,142,270.82
  5. Step 5: Solve for x
    x = 239,011,142,270.82/601,659.40
  6. Step 6: Final answer
    x = 397,253.23

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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.