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Finding the Fourth Proportional to 647,538.70, 971,308.05 and 458,581.90

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Solution

The fourth proportional to 647,538.70, 971,308.05 and 458,581.90 is: 687,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,538.70 : 971,308.05 = 458,581.90 : x
  2. Step 2: Convert to fraction form
    647,538.70/971,308.05 = 458,581.90/x
  3. Step 3: Cross multiply
    647,538.70x = 971,308.05 × 458,581.90
  4. Step 4: Simplify right side
    647,538.70x = 445,424,291,054.30
  5. Step 5: Solve for x
    x = 445,424,291,054.30/647,538.70
  6. Step 6: Final answer
    x = 687,872.85

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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.