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Finding the Fourth Proportional to 309,792.72, 464,256.53 and 167,330.85

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Solution

The fourth proportional to 309,792.72, 464,256.53 and 167,330.85 is: 250,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,792.72 : 464,256.53 = 167,330.85 : x
  2. Step 2: Convert to fraction form
    309,792.72/464,256.53 = 167,330.85/x
  3. Step 3: Cross multiply
    309,792.72x = 464,256.53 × 167,330.85
  4. Step 4: Simplify right side
    309,792.72x = 77,684,439,782.95
  5. Step 5: Solve for x
    x = 77,684,439,782.95/309,792.72
  6. Step 6: Final answer
    x = 250,762.64

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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.