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Finding the Fourth Proportional to 465,149.22, 697,280.94 and 149,384.69

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Solution

The fourth proportional to 465,149.22, 697,280.94 and 149,384.69 is: 223,934.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,149.22 : 697,280.94 = 149,384.69 : x
  2. Step 2: Convert to fraction form
    465,149.22/697,280.94 = 149,384.69/x
  3. Step 3: Cross multiply
    465,149.22x = 697,280.94 × 149,384.69
  4. Step 4: Simplify right side
    465,149.22x = 104,163,096,193.21
  5. Step 5: Solve for x
    x = 104,163,096,193.21/465,149.22
  6. Step 6: Final answer
    x = 223,934.80

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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.