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Finding the Fourth Proportional to 402,124.31, 603,157.70 and 233,539.41

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Solution

The fourth proportional to 402,124.31, 603,157.70 and 233,539.41 is: 350,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,124.31 : 603,157.70 = 233,539.41 : x
  2. Step 2: Convert to fraction form
    402,124.31/603,157.70 = 233,539.41/x
  3. Step 3: Cross multiply
    402,124.31x = 603,157.70 × 233,539.41
  4. Step 4: Simplify right side
    402,124.31x = 140,861,092,227.26
  5. Step 5: Solve for x
    x = 140,861,092,227.26/402,124.31
  6. Step 6: Final answer
    x = 350,292.41

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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.