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Finding the Fourth Proportional to 407,689.00, 562,635.82 and 226,402.19

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Solution

The fourth proportional to 407,689.00, 562,635.82 and 226,402.19 is: 312,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,689.00 : 562,635.82 = 226,402.19 : x
  2. Step 2: Convert to fraction form
    407,689.00/562,635.82 = 226,402.19/x
  3. Step 3: Cross multiply
    407,689.00x = 562,635.82 × 226,402.19
  4. Step 4: Simplify right side
    407,689.00x = 127,381,981,400.15
  5. Step 5: Solve for x
    x = 127,381,981,400.15/407,689.00
  6. Step 6: Final answer
    x = 312,448.91

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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.