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Finding the Fourth Proportional to 309,233.64, 463,843.17 and 98,873.40

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Solution

The fourth proportional to 309,233.64, 463,843.17 and 98,873.40 is: 148,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,233.64 : 463,843.17 = 98,873.40 : x
  2. Step 2: Convert to fraction form
    309,233.64/463,843.17 = 98,873.40/x
  3. Step 3: Cross multiply
    309,233.64x = 463,843.17 × 98,873.40
  4. Step 4: Simplify right side
    309,233.64x = 45,861,751,284.68
  5. Step 5: Solve for x
    x = 45,861,751,284.68/309,233.64
  6. Step 6: Final answer
    x = 148,307.77

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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.