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Finding the Fourth Proportional to 432,783.16, 597,241.01 and 241,796.55

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Solution

The fourth proportional to 432,783.16, 597,241.01 and 241,796.55 is: 333,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,783.16 : 597,241.01 = 241,796.55 : x
  2. Step 2: Convert to fraction form
    432,783.16/597,241.01 = 241,796.55/x
  3. Step 3: Cross multiply
    432,783.16x = 597,241.01 × 241,796.55
  4. Step 4: Simplify right side
    432,783.16x = 144,410,815,736.52
  5. Step 5: Solve for x
    x = 144,410,815,736.52/432,783.16
  6. Step 6: Final answer
    x = 333,679.38

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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.