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Finding the Fourth Proportional to 513,792.97, 770,763.27 and 158,834.67

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Solution

The fourth proportional to 513,792.97, 770,763.27 and 158,834.67 is: 238,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,792.97 : 770,763.27 = 158,834.67 : x
  2. Step 2: Convert to fraction form
    513,792.97/770,763.27 = 158,834.67/x
  3. Step 3: Cross multiply
    513,792.97x = 770,763.27 × 158,834.67
  4. Step 4: Simplify right side
    513,792.97x = 122,423,931,232.66
  5. Step 5: Solve for x
    x = 122,423,931,232.66/513,792.97
  6. Step 6: Final answer
    x = 238,274.83

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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.