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Finding the Fourth Proportional to 417,464.35, 576,101.03 and 226,477.72

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Solution

The fourth proportional to 417,464.35, 576,101.03 and 226,477.72 is: 312,539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,464.35 : 576,101.03 = 226,477.72 : x
  2. Step 2: Convert to fraction form
    417,464.35/576,101.03 = 226,477.72/x
  3. Step 3: Cross multiply
    417,464.35x = 576,101.03 × 226,477.72
  4. Step 4: Simplify right side
    417,464.35x = 130,474,047,764.05
  5. Step 5: Solve for x
    x = 130,474,047,764.05/417,464.35
  6. Step 6: Final answer
    x = 312,539.38

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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.