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Finding the Fourth Proportional to 364,845, 547,267.50 and 98,585.08

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Solution

The fourth proportional to 364,845, 547,267.50 and 98,585.08 is: 147,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,845 : 547,267.50 = 98,585.08 : x
  2. Step 2: Convert to fraction form
    364,845/547,267.50 = 98,585.08/x
  3. Step 3: Cross multiply
    364,845x = 547,267.50 × 98,585.08
  4. Step 4: Simplify right side
    364,845x = 53,952,410,268.90
  5. Step 5: Solve for x
    x = 53,952,410,268.90/364,845
  6. Step 6: Final answer
    x = 147,877.62

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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.