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Finding the Fourth Proportional to 432,994.23, 597,532.82 and 242,015.67

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Solution

The fourth proportional to 432,994.23, 597,532.82 and 242,015.67 is: 333,982.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,994.23 : 597,532.82 = 242,015.67 : x
  2. Step 2: Convert to fraction form
    432,994.23/597,532.82 = 242,015.67/x
  3. Step 3: Cross multiply
    432,994.23x = 597,532.82 × 242,015.67
  4. Step 4: Simplify right side
    432,994.23x = 144,612,304,569.21
  5. Step 5: Solve for x
    x = 144,612,304,569.21/432,994.23
  6. Step 6: Final answer
    x = 333,982.06

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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.