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Finding the Fourth Proportional to 314,447.48, 471,392.52 and 225,477.08

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Solution

The fourth proportional to 314,447.48, 471,392.52 and 225,477.08 is: 338,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,447.48 : 471,392.52 = 225,477.08 : x
  2. Step 2: Convert to fraction form
    314,447.48/471,392.52 = 225,477.08/x
  3. Step 3: Cross multiply
    314,447.48x = 471,392.52 × 225,477.08
  4. Step 4: Simplify right side
    314,447.48x = 106,288,208,943.44
  5. Step 5: Solve for x
    x = 106,288,208,943.44/314,447.48
  6. Step 6: Final answer
    x = 338,015.78

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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.