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Finding the Fourth Proportional to 463,803.66, 694,705.68 and 313,215.89

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Solution

The fourth proportional to 463,803.66, 694,705.68 and 313,215.89 is: 469,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,803.66 : 694,705.68 = 313,215.89 : x
  2. Step 2: Convert to fraction form
    463,803.66/694,705.68 = 313,215.89/x
  3. Step 3: Cross multiply
    463,803.66x = 694,705.68 × 313,215.89
  4. Step 4: Simplify right side
    463,803.66x = 217,592,854,375.73
  5. Step 5: Solve for x
    x = 217,592,854,375.73/463,803.66
  6. Step 6: Final answer
    x = 469,148.64

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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.