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Finding the Fourth Proportional to 465,004.50, 697,513.23 and 132,580.50

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Solution

The fourth proportional to 465,004.50, 697,513.23 and 132,580.50 is: 198,872.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,004.50 : 697,513.23 = 132,580.50 : x
  2. Step 2: Convert to fraction form
    465,004.50/697,513.23 = 132,580.50/x
  3. Step 3: Cross multiply
    465,004.50x = 697,513.23 × 132,580.50
  4. Step 4: Simplify right side
    465,004.50x = 92,476,652,790.02
  5. Step 5: Solve for x
    x = 92,476,652,790.02/465,004.50
  6. Step 6: Final answer
    x = 198,872.60

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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.