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Finding the Fourth Proportional to 417,212.82, 575,748.18 and 226,222.20

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Solution

The fourth proportional to 417,212.82, 575,748.18 and 226,222.20 is: 312,183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,212.82 : 575,748.18 = 226,222.20 : x
  2. Step 2: Convert to fraction form
    417,212.82/575,748.18 = 226,222.20/x
  3. Step 3: Cross multiply
    417,212.82x = 575,748.18 × 226,222.20
  4. Step 4: Simplify right side
    417,212.82x = 130,247,019,925.60
  5. Step 5: Solve for x
    x = 130,247,019,925.60/417,212.82
  6. Step 6: Final answer
    x = 312,183.65

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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.