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Finding the Fourth Proportional to 364,844, 547,266 and 98,584.08

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Solution

The fourth proportional to 364,844, 547,266 and 98,584.08 is: 147,876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,844 : 547,266 = 98,584.08 : x
  2. Step 2: Convert to fraction form
    364,844/547,266 = 98,584.08/x
  3. Step 3: Cross multiply
    364,844x = 547,266 × 98,584.08
  4. Step 4: Simplify right side
    364,844x = 53,951,715,125.28
  5. Step 5: Solve for x
    x = 53,951,715,125.28/364,844
  6. Step 6: Final answer
    x = 147,876.12

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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.