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Finding the Fourth Proportional to 416,228.34, 624,089.69 and 163,205.69

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Solution

The fourth proportional to 416,228.34, 624,089.69 and 163,205.69 is: 244,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,228.34 : 624,089.69 = 163,205.69 : x
  2. Step 2: Convert to fraction form
    416,228.34/624,089.69 = 163,205.69/x
  3. Step 3: Cross multiply
    416,228.34x = 624,089.69 × 163,205.69
  4. Step 4: Simplify right side
    416,228.34x = 101,854,984,541.86
  5. Step 5: Solve for x
    x = 101,854,984,541.86/416,228.34
  6. Step 6: Final answer
    x = 244,709.39

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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.