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Finding the Fourth Proportional to 407,313.60, 562,078 and 226,033.44

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Solution

The fourth proportional to 407,313.60, 562,078 and 226,033.44 is: 311,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,313.60 : 562,078 = 226,033.44 : x
  2. Step 2: Convert to fraction form
    407,313.60/562,078 = 226,033.44/x
  3. Step 3: Cross multiply
    407,313.60x = 562,078 × 226,033.44
  4. Step 4: Simplify right side
    407,313.60x = 127,048,423,888.32
  5. Step 5: Solve for x
    x = 127,048,423,888.32/407,313.60
  6. Step 6: Final answer
    x = 311,917.95

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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.