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Finding the Fourth Proportional to 417,707.64, 576,421.11 and 226,716.93

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Solution

The fourth proportional to 417,707.64, 576,421.11 and 226,716.93 is: 312,860.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,707.64 : 576,421.11 = 226,716.93 : x
  2. Step 2: Convert to fraction form
    417,707.64/576,421.11 = 226,716.93/x
  3. Step 3: Cross multiply
    417,707.64x = 576,421.11 × 226,716.93
  4. Step 4: Simplify right side
    417,707.64x = 130,684,424,446.39
  5. Step 5: Solve for x
    x = 130,684,424,446.39/417,707.64
  6. Step 6: Final answer
    x = 312,860.99

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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.