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Finding the Fourth Proportional to 463,808.16, 694,712.43 and 313,220.43

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Solution

The fourth proportional to 463,808.16, 694,712.43 and 313,220.43 is: 469,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,808.16 : 694,712.43 = 313,220.43 : x
  2. Step 2: Convert to fraction form
    463,808.16/694,712.43 = 313,220.43/x
  3. Step 3: Cross multiply
    463,808.16x = 694,712.43 × 313,220.43
  4. Step 4: Simplify right side
    463,808.16x = 217,598,126,050.95
  5. Step 5: Solve for x
    x = 217,598,126,050.95/463,808.16
  6. Step 6: Final answer
    x = 469,155.45

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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.