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Finding the Fourth Proportional to 417,396.36, 625,963.14 and 136,848

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Solution

The fourth proportional to 417,396.36, 625,963.14 and 136,848 is: 205,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,396.36 : 625,963.14 = 136,848 : x
  2. Step 2: Convert to fraction form
    417,396.36/625,963.14 = 136,848/x
  3. Step 3: Cross multiply
    417,396.36x = 625,963.14 × 136,848
  4. Step 4: Simplify right side
    417,396.36x = 85,661,803,782.72
  5. Step 5: Solve for x
    x = 85,661,803,782.72/417,396.36
  6. Step 6: Final answer
    x = 205,228.92

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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.