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Finding the Fourth Proportional to 314,864.37, 472,016.93 and 122,694.31

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Solution

The fourth proportional to 314,864.37, 472,016.93 and 122,694.31 is: 183,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,864.37 : 472,016.93 = 122,694.31 : x
  2. Step 2: Convert to fraction form
    314,864.37/472,016.93 = 122,694.31/x
  3. Step 3: Cross multiply
    314,864.37x = 472,016.93 × 122,694.31
  4. Step 4: Simplify right side
    314,864.37x = 57,913,789,741.15
  5. Step 5: Solve for x
    x = 57,913,789,741.15/314,864.37
  6. Step 6: Final answer
    x = 183,932.50

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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.