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Finding the Fourth Proportional to 465,201.78, 697,359.33 and 149,436.96

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Solution

The fourth proportional to 465,201.78, 697,359.33 and 149,436.96 is: 224,013.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,201.78 : 697,359.33 = 149,436.96 : x
  2. Step 2: Convert to fraction form
    465,201.78/697,359.33 = 149,436.96/x
  3. Step 3: Cross multiply
    465,201.78x = 697,359.33 × 149,436.96
  4. Step 4: Simplify right side
    465,201.78x = 104,211,258,302.84
  5. Step 5: Solve for x
    x = 104,211,258,302.84/465,201.78
  6. Step 6: Final answer
    x = 224,013.03

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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.