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Finding the Fourth Proportional to 407,948.80, 562,951.04 and 226,673.44

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Solution

The fourth proportional to 407,948.80, 562,951.04 and 226,673.44 is: 312,799.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,948.80 : 562,951.04 = 226,673.44 : x
  2. Step 2: Convert to fraction form
    407,948.80/562,951.04 = 226,673.44/x
  3. Step 3: Cross multiply
    407,948.80x = 562,951.04 × 226,673.44
  4. Step 4: Simplify right side
    407,948.80x = 127,606,048,788.38
  5. Step 5: Solve for x
    x = 127,606,048,788.38/407,948.80
  6. Step 6: Final answer
    x = 312,799.18

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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.