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Finding the Fourth Proportional to 647,472.20, 971,208.30 and 423,523.40

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Solution

The fourth proportional to 647,472.20, 971,208.30 and 423,523.40 is: 635,285.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,472.20 : 971,208.30 = 423,523.40 : x
  2. Step 2: Convert to fraction form
    647,472.20/971,208.30 = 423,523.40/x
  3. Step 3: Cross multiply
    647,472.20x = 971,208.30 × 423,523.40
  4. Step 4: Simplify right side
    647,472.20x = 411,329,441,324.22
  5. Step 5: Solve for x
    x = 411,329,441,324.22/647,472.20
  6. Step 6: Final answer
    x = 635,285.10

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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.