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Finding the Fourth Proportional to 647,530.20, 971,295.30 and 423,581.40

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Solution

The fourth proportional to 647,530.20, 971,295.30 and 423,581.40 is: 635,372.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,530.20 : 971,295.30 = 423,581.40 : x
  2. Step 2: Convert to fraction form
    647,530.20/971,295.30 = 423,581.40/x
  3. Step 3: Cross multiply
    647,530.20x = 971,295.30 × 423,581.40
  4. Step 4: Simplify right side
    647,530.20x = 411,422,622,987.42
  5. Step 5: Solve for x
    x = 411,422,622,987.42/647,530.20
  6. Step 6: Final answer
    x = 635,372.10

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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.