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Finding the Fourth Proportional to 350,442.40, 525,793.20 and 140,231.20

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Solution

The fourth proportional to 350,442.40, 525,793.20 and 140,231.20 is: 210,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,442.40 : 525,793.20 = 140,231.20 : x
  2. Step 2: Convert to fraction form
    350,442.40/525,793.20 = 140,231.20/x
  3. Step 3: Cross multiply
    350,442.40x = 525,793.20 × 140,231.20
  4. Step 4: Simplify right side
    350,442.40x = 73,732,611,387.84
  5. Step 5: Solve for x
    x = 73,732,611,387.84/350,442.40
  6. Step 6: Final answer
    x = 210,398.66

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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.