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Finding the Fourth Proportional to 384,608.20, 530,751.54 and 233,753.80

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Solution

The fourth proportional to 384,608.20, 530,751.54 and 233,753.80 is: 322,575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,608.20 : 530,751.54 = 233,753.80 : x
  2. Step 2: Convert to fraction form
    384,608.20/530,751.54 = 233,753.80/x
  3. Step 3: Cross multiply
    384,608.20x = 530,751.54 × 233,753.80
  4. Step 4: Simplify right side
    384,608.20x = 124,065,189,330.85
  5. Step 5: Solve for x
    x = 124,065,189,330.85/384,608.20
  6. Step 6: Final answer
    x = 322,575.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.