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Finding the Fourth Proportional to 647,537.40, 971,306.10 and 198,257.40

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Solution

The fourth proportional to 647,537.40, 971,306.10 and 198,257.40 is: 297,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,537.40 : 971,306.10 = 198,257.40 : x
  2. Step 2: Convert to fraction form
    647,537.40/971,306.10 = 198,257.40/x
  3. Step 3: Cross multiply
    647,537.40x = 971,306.10 × 198,257.40
  4. Step 4: Simplify right side
    647,537.40x = 192,568,621,990.14
  5. Step 5: Solve for x
    x = 192,568,621,990.14/647,537.40
  6. Step 6: Final answer
    x = 297,386.10

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Similar ratio
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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.