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Finding the Fourth Proportional to 407,405.28, 562,210.83 and 226,106.58

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Solution

The fourth proportional to 407,405.28, 562,210.83 and 226,106.58 is: 312,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,405.28 : 562,210.83 = 226,106.58 : x
  2. Step 2: Convert to fraction form
    407,405.28/562,210.83 = 226,106.58/x
  3. Step 3: Cross multiply
    407,405.28x = 562,210.83 × 226,106.58
  4. Step 4: Simplify right side
    407,405.28x = 127,119,568,010.26
  5. Step 5: Solve for x
    x = 127,119,568,010.26/407,405.28
  6. Step 6: Final answer
    x = 312,022.39

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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.