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Finding the Fourth Proportional to 314,054.88, 471,208.28 and 114,389.04

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Solution

The fourth proportional to 314,054.88, 471,208.28 and 114,389.04 is: 171,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,054.88 : 471,208.28 = 114,389.04 : x
  2. Step 2: Convert to fraction form
    314,054.88/471,208.28 = 114,389.04/x
  3. Step 3: Cross multiply
    314,054.88x = 471,208.28 × 114,389.04
  4. Step 4: Simplify right side
    314,054.88x = 53,901,062,789.25
  5. Step 5: Solve for x
    x = 53,901,062,789.25/314,054.88
  6. Step 6: Final answer
    x = 171,629.44

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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.