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Finding the Fourth Proportional to 416,228.52, 624,089.95 and 163,205.87

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Solution

The fourth proportional to 416,228.52, 624,089.95 and 163,205.87 is: 244,709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,228.52 : 624,089.95 = 163,205.87 : x
  2. Step 2: Convert to fraction form
    416,228.52/624,089.95 = 163,205.87/x
  3. Step 3: Cross multiply
    416,228.52x = 624,089.95 × 163,205.87
  4. Step 4: Simplify right side
    416,228.52x = 101,855,140,127.56
  5. Step 5: Solve for x
    x = 101,855,140,127.56/416,228.52
  6. Step 6: Final answer
    x = 244,709.66

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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.