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Finding the Fourth Proportional to 465,034.62, 697,617.54 and 149,385.72

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Solution

The fourth proportional to 465,034.62, 697,617.54 and 149,385.72 is: 224,099.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,034.62 : 697,617.54 = 149,385.72 : x
  2. Step 2: Convert to fraction form
    465,034.62/697,617.54 = 149,385.72/x
  3. Step 3: Cross multiply
    465,034.62x = 697,617.54 × 149,385.72
  4. Step 4: Simplify right side
    465,034.62x = 104,214,098,497.53
  5. Step 5: Solve for x
    x = 104,214,098,497.53/465,034.62
  6. Step 6: Final answer
    x = 224,099.66

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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.