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Finding the Fourth Proportional to 417,019.34, 575,487.30 and 226,032.68

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Solution

The fourth proportional to 417,019.34, 575,487.30 and 226,032.68 is: 311,925.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,019.34 : 575,487.30 = 226,032.68 : x
  2. Step 2: Convert to fraction form
    417,019.34/575,487.30 = 226,032.68/x
  3. Step 3: Cross multiply
    417,019.34x = 575,487.30 × 226,032.68
  4. Step 4: Simplify right side
    417,019.34x = 130,078,933,847.53
  5. Step 5: Solve for x
    x = 130,078,933,847.53/417,019.34
  6. Step 6: Final answer
    x = 311,925.43

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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.