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Finding the Fourth Proportional to 314,992.72, 472,454.52 and 112,545.64

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Solution

The fourth proportional to 314,992.72, 472,454.52 and 112,545.64 is: 168,806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,992.72 : 472,454.52 = 112,545.64 : x
  2. Step 2: Convert to fraction form
    314,992.72/472,454.52 = 112,545.64/x
  3. Step 3: Cross multiply
    314,992.72x = 472,454.52 × 112,545.64
  4. Step 4: Simplify right side
    314,992.72x = 53,172,696,324.29
  5. Step 5: Solve for x
    x = 53,172,696,324.29/314,992.72
  6. Step 6: Final answer
    x = 168,806.11

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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.