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Finding the Fourth Proportional to 334,813.60, 462,046.16 and 181,853.27

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Solution

The fourth proportional to 334,813.60, 462,046.16 and 181,853.27 is: 250,959.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,813.60 : 462,046.16 = 181,853.27 : x
  2. Step 2: Convert to fraction form
    334,813.60/462,046.16 = 181,853.27/x
  3. Step 3: Cross multiply
    334,813.60x = 462,046.16 × 181,853.27
  4. Step 4: Simplify right side
    334,813.60x = 84,024,601,867.45
  5. Step 5: Solve for x
    x = 84,024,601,867.45/334,813.60
  6. Step 6: Final answer
    x = 250,959.35

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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.