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Finding the Fourth Proportional to 403,920, 606,051.84 and 167,434.56

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Solution

The fourth proportional to 403,920, 606,051.84 and 167,434.56 is: 251,223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,920 : 606,051.84 = 167,434.56 : x
  2. Step 2: Convert to fraction form
    403,920/606,051.84 = 167,434.56/x
  3. Step 3: Cross multiply
    403,920x = 606,051.84 × 167,434.56
  4. Step 4: Simplify right side
    403,920x = 101,474,023,167.59
  5. Step 5: Solve for x
    x = 101,474,023,167.59/403,920
  6. Step 6: Final answer
    x = 251,223.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.