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Finding the Fourth Proportional to 465,000.24, 697,506.84 and 132,576.24

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Solution

The fourth proportional to 465,000.24, 697,506.84 and 132,576.24 is: 198,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,000.24 : 697,506.84 = 132,576.24 : x
  2. Step 2: Convert to fraction form
    465,000.24/697,506.84 = 132,576.24/x
  3. Step 3: Cross multiply
    465,000.24x = 697,506.84 × 132,576.24
  4. Step 4: Simplify right side
    465,000.24x = 92,472,834,221.48
  5. Step 5: Solve for x
    x = 92,472,834,221.48/465,000.24
  6. Step 6: Final answer
    x = 198,866.21

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1.5x scale

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.