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Finding the Fourth Proportional to 465,149.96, 697,282.05 and 149,385.44

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Solution

The fourth proportional to 465,149.96, 697,282.05 and 149,385.44 is: 223,935.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,149.96 : 697,282.05 = 149,385.44 : x
  2. Step 2: Convert to fraction form
    465,149.96/697,282.05 = 149,385.44/x
  3. Step 3: Cross multiply
    465,149.96x = 697,282.05 × 149,385.44
  4. Step 4: Simplify right side
    465,149.96x = 104,163,782,356.94
  5. Step 5: Solve for x
    x = 104,163,782,356.94/465,149.96
  6. Step 6: Final answer
    x = 223,935.92

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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.