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Finding the Fourth Proportional to 407,730.36, 562,648.74 and 226,453.98

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Solution

The fourth proportional to 407,730.36, 562,648.74 and 226,453.98 is: 312,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,730.36 : 562,648.74 = 226,453.98 : x
  2. Step 2: Convert to fraction form
    407,730.36/562,648.74 = 226,453.98/x
  3. Step 3: Cross multiply
    407,730.36x = 562,648.74 × 226,453.98
  4. Step 4: Simplify right side
    407,730.36x = 127,414,046,514.99
  5. Step 5: Solve for x
    x = 127,414,046,514.99/407,730.36
  6. Step 6: Final answer
    x = 312,495.85

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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.