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Finding the Fourth Proportional to 242,542.82, 332,285.20 and 233,452.16

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Solution

The fourth proportional to 242,542.82, 332,285.20 and 233,452.16 is: 319,830.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,542.82 : 332,285.20 = 233,452.16 : x
  2. Step 2: Convert to fraction form
    242,542.82/332,285.20 = 233,452.16/x
  3. Step 3: Cross multiply
    242,542.82x = 332,285.20 × 233,452.16
  4. Step 4: Simplify right side
    242,542.82x = 77,572,697,676.03
  5. Step 5: Solve for x
    x = 77,572,697,676.03/242,542.82
  6. Step 6: Final answer
    x = 319,830.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.