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Finding the Fourth Proportional to 488,172.32, 673,719.42 and 284,287.15

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Solution

The fourth proportional to 488,172.32, 673,719.42 and 284,287.15 is: 392,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,172.32 : 673,719.42 = 284,287.15 : x
  2. Step 2: Convert to fraction form
    488,172.32/673,719.42 = 284,287.15/x
  3. Step 3: Cross multiply
    488,172.32x = 673,719.42 × 284,287.15
  4. Step 4: Simplify right side
    488,172.32x = 191,529,775,719.68
  5. Step 5: Solve for x
    x = 191,529,775,719.68/488,172.32
  6. Step 6: Final answer
    x = 392,340.51

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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.