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Finding the Fourth Proportional to 417,696.72, 576,406.06 and 226,706.01

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Solution

The fourth proportional to 417,696.72, 576,406.06 and 226,706.01 is: 312,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,696.72 : 576,406.06 = 226,706.01 : x
  2. Step 2: Convert to fraction form
    417,696.72/576,406.06 = 226,706.01/x
  3. Step 3: Cross multiply
    417,696.72x = 576,406.06 × 226,706.01
  4. Step 4: Simplify right side
    417,696.72x = 130,674,721,093.98
  5. Step 5: Solve for x
    x = 130,674,721,093.98/417,696.72
  6. Step 6: Final answer
    x = 312,845.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.