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Finding the Fourth Proportional to 417,696.55, 576,405.81 and 226,705.84

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Solution

The fourth proportional to 417,696.55, 576,405.81 and 226,705.84 is: 312,845.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,696.55 : 576,405.81 = 226,705.84 : x
  2. Step 2: Convert to fraction form
    417,696.55/576,405.81 = 226,705.84/x
  3. Step 3: Cross multiply
    417,696.55x = 576,405.81 × 226,705.84
  4. Step 4: Simplify right side
    417,696.55x = 130,674,563,336.93
  5. Step 5: Solve for x
    x = 130,674,563,336.93/417,696.55
  6. Step 6: Final answer
    x = 312,845.69

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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.