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Finding the Fourth Proportional to 382,792.42, 574,188.62 and 158,158.67

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Solution

The fourth proportional to 382,792.42, 574,188.62 and 158,158.67 is: 237,238.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,792.42 : 574,188.62 = 158,158.67 : x
  2. Step 2: Convert to fraction form
    382,792.42/574,188.62 = 158,158.67/x
  3. Step 3: Cross multiply
    382,792.42x = 574,188.62 × 158,158.67
  4. Step 4: Simplify right side
    382,792.42x = 90,812,909,375.11
  5. Step 5: Solve for x
    x = 90,812,909,375.11/382,792.42
  6. Step 6: Final answer
    x = 237,238.00

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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.