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Finding the Fourth Proportional to 417,697.05, 576,406.50 and 226,706.34

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Solution

The fourth proportional to 417,697.05, 576,406.50 and 226,706.34 is: 312,846.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,697.05 : 576,406.50 = 226,706.34 : x
  2. Step 2: Convert to fraction form
    417,697.05/576,406.50 = 226,706.34/x
  3. Step 3: Cross multiply
    417,697.05x = 576,406.50 × 226,706.34
  4. Step 4: Simplify right side
    417,697.05x = 130,675,005,085.18
  5. Step 5: Solve for x
    x = 130,675,005,085.18/417,697.05
  6. Step 6: Final answer
    x = 312,846.37

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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.