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Finding the Fourth Proportional to 407,601.84, 562,508.16 and 226,313.82

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Solution

The fourth proportional to 407,601.84, 562,508.16 and 226,313.82 is: 312,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,601.84 : 562,508.16 = 226,313.82 : x
  2. Step 2: Convert to fraction form
    407,601.84/562,508.16 = 226,313.82/x
  3. Step 3: Cross multiply
    407,601.84x = 562,508.16 × 226,313.82
  4. Step 4: Simplify right side
    407,601.84x = 127,303,370,470.77
  5. Step 5: Solve for x
    x = 127,303,370,470.77/407,601.84
  6. Step 6: Final answer
    x = 312,322.86

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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.