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Finding the Fourth Proportional to 617,648.40, 852,315.21 and 345,670.38

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Solution

The fourth proportional to 617,648.40, 852,315.21 and 345,670.38 is: 477,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,648.40 : 852,315.21 = 345,670.38 : x
  2. Step 2: Convert to fraction form
    617,648.40/852,315.21 = 345,670.38/x
  3. Step 3: Cross multiply
    617,648.40x = 852,315.21 × 345,670.38
  4. Step 4: Simplify right side
    617,648.40x = 294,620,122,520.48
  5. Step 5: Solve for x
    x = 294,620,122,520.48/617,648.40
  6. Step 6: Final answer
    x = 477,002.97

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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.