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Finding the Fourth Proportional to 704,136.23, 971,708.22 and 381,846.23

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Solution

The fourth proportional to 704,136.23, 971,708.22 and 381,846.23 is: 526,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,136.23 : 971,708.22 = 381,846.23 : x
  2. Step 2: Convert to fraction form
    704,136.23/971,708.22 = 381,846.23/x
  3. Step 3: Cross multiply
    704,136.23x = 971,708.22 × 381,846.23
  4. Step 4: Simplify right side
    704,136.23x = 371,043,120,467.01
  5. Step 5: Solve for x
    x = 371,043,120,467.01/704,136.23
  6. Step 6: Final answer
    x = 526,947.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.