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Finding the Fourth Proportional to 472,226.05, 708,439.92 and 152,396.13

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Solution

The fourth proportional to 472,226.05, 708,439.92 and 152,396.13 is: 228,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,226.05 : 708,439.92 = 152,396.13 : x
  2. Step 2: Convert to fraction form
    472,226.05/708,439.92 = 152,396.13/x
  3. Step 3: Cross multiply
    472,226.05x = 708,439.92 × 152,396.13
  4. Step 4: Simplify right side
    472,226.05x = 107,963,505,087.90
  5. Step 5: Solve for x
    x = 107,963,505,087.90/472,226.05
  6. Step 6: Final answer
    x = 228,626.75

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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.