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Finding the Fourth Proportional to 417,697.06, 576,406.50 and 226,706.35

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Solution

The fourth proportional to 417,697.06, 576,406.50 and 226,706.35 is: 312,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,697.06 : 576,406.50 = 226,706.35 : x
  2. Step 2: Convert to fraction form
    417,697.06/576,406.50 = 226,706.35/x
  3. Step 3: Cross multiply
    417,697.06x = 576,406.50 × 226,706.35
  4. Step 4: Simplify right side
    417,697.06x = 130,675,013,731.28
  5. Step 5: Solve for x
    x = 130,675,013,731.28/417,697.06
  6. Step 6: Final answer
    x = 312,846.38

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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.