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Finding the Fourth Proportional to 432,768.13, 597,209.01 and 241,782.95

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Solution

The fourth proportional to 432,768.13, 597,209.01 and 241,782.95 is: 333,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,768.13 : 597,209.01 = 241,782.95 : x
  2. Step 2: Convert to fraction form
    432,768.13/597,209.01 = 241,782.95/x
  3. Step 3: Cross multiply
    432,768.13x = 597,209.01 × 241,782.95
  4. Step 4: Simplify right side
    432,768.13x = 144,394,956,204.38
  5. Step 5: Solve for x
    x = 144,394,956,204.38/432,768.13
  6. Step 6: Final answer
    x = 333,654.32

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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.