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Finding the Fourth Proportional to 335,488.50, 462,974.13 and 184,585.50

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Solution

The fourth proportional to 335,488.50, 462,974.13 and 184,585.50 is: 254,727.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,488.50 : 462,974.13 = 184,585.50 : x
  2. Step 2: Convert to fraction form
    335,488.50/462,974.13 = 184,585.50/x
  3. Step 3: Cross multiply
    335,488.50x = 462,974.13 × 184,585.50
  4. Step 4: Simplify right side
    335,488.50x = 85,458,311,273.12
  5. Step 5: Solve for x
    x = 85,458,311,273.12/335,488.50
  6. Step 6: Final answer
    x = 254,727.99

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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.