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Finding the Fourth Proportional to 309,007.99, 463,719.75 and 109,327.60

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Solution

The fourth proportional to 309,007.99, 463,719.75 and 109,327.60 is: 164,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,007.99 : 463,719.75 = 109,327.60 : x
  2. Step 2: Convert to fraction form
    309,007.99/463,719.75 = 109,327.60/x
  3. Step 3: Cross multiply
    309,007.99x = 463,719.75 × 109,327.60
  4. Step 4: Simplify right side
    309,007.99x = 50,697,367,340.10
  5. Step 5: Solve for x
    x = 50,697,367,340.10/309,007.99
  6. Step 6: Final answer
    x = 164,064.91

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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.