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Finding the Fourth Proportional to 432,773.14, 597,215.91 and 241,787.95

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Solution

The fourth proportional to 432,773.14, 597,215.91 and 241,787.95 is: 333,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,773.14 : 597,215.91 = 241,787.95 : x
  2. Step 2: Convert to fraction form
    432,773.14/597,215.91 = 241,787.95/x
  3. Step 3: Cross multiply
    432,773.14x = 597,215.91 × 241,787.95
  4. Step 4: Simplify right side
    432,773.14x = 144,399,610,586.29
  5. Step 5: Solve for x
    x = 144,399,610,586.29/432,773.14
  6. Step 6: Final answer
    x = 333,661.21

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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.