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Finding the Fourth Proportional to 602,069.47, 902,472.03 and 202,571.56

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Solution

The fourth proportional to 602,069.47, 902,472.03 and 202,571.56 is: 303,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,069.47 : 902,472.03 = 202,571.56 : x
  2. Step 2: Convert to fraction form
    602,069.47/902,472.03 = 202,571.56/x
  3. Step 3: Cross multiply
    602,069.47x = 902,472.03 × 202,571.56
  4. Step 4: Simplify right side
    602,069.47x = 182,815,166,973.47
  5. Step 5: Solve for x
    x = 182,815,166,973.47/602,069.47
  6. Step 6: Final answer
    x = 303,644.64

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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.