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Finding the Fourth Proportional to 314,691.33, 472,083.44 and 114,965.04

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Solution

The fourth proportional to 314,691.33, 472,083.44 and 114,965.04 is: 172,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,691.33 : 472,083.44 = 114,965.04 : x
  2. Step 2: Convert to fraction form
    314,691.33/472,083.44 = 114,965.04/x
  3. Step 3: Cross multiply
    314,691.33x = 472,083.44 × 114,965.04
  4. Step 4: Simplify right side
    314,691.33x = 54,273,090,988.11
  5. Step 5: Solve for x
    x = 54,273,090,988.11/314,691.33
  6. Step 6: Final answer
    x = 172,464.53

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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.