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Finding the Fourth Proportional to 382,432.50, 573,717.06 and 157,667.94

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Solution

The fourth proportional to 382,432.50, 573,717.06 and 157,667.94 is: 236,530.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,432.50 : 573,717.06 = 157,667.94 : x
  2. Step 2: Convert to fraction form
    382,432.50/573,717.06 = 157,667.94/x
  3. Step 3: Cross multiply
    382,432.50x = 573,717.06 × 157,667.94
  4. Step 4: Simplify right side
    382,432.50x = 90,456,786,993.06
  5. Step 5: Solve for x
    x = 90,456,786,993.06/382,432.50
  6. Step 6: Final answer
    x = 236,530.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.