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Finding the Fourth Proportional to 465,175.73, 697,320.65 and 149,411.22

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Solution

The fourth proportional to 465,175.73, 697,320.65 and 149,411.22 is: 223,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,175.73 : 697,320.65 = 149,411.22 : x
  2. Step 2: Convert to fraction form
    465,175.73/697,320.65 = 149,411.22/x
  3. Step 3: Cross multiply
    465,175.73x = 697,320.65 × 149,411.22
  4. Step 4: Simplify right side
    465,175.73x = 104,187,529,047.69
  5. Step 5: Solve for x
    x = 104,187,529,047.69/465,175.73
  6. Step 6: Final answer
    x = 223,974.56

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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.