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Finding the Fourth Proportional to 417,395.86, 625,962.39 and 136,847.50

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Solution

The fourth proportional to 417,395.86, 625,962.39 and 136,847.50 is: 205,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,395.86 : 625,962.39 = 136,847.50 : x
  2. Step 2: Convert to fraction form
    417,395.86/625,962.39 = 136,847.50/x
  3. Step 3: Cross multiply
    417,395.86x = 625,962.39 × 136,847.50
  4. Step 4: Simplify right side
    417,395.86x = 85,661,388,165.53
  5. Step 5: Solve for x
    x = 85,661,388,165.53/417,395.86
  6. Step 6: Final answer
    x = 205,228.17

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Why These Related Problems?

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