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Finding the Fourth Proportional to 494,564.60, 740,972.10 and 463,071.80

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Solution

The fourth proportional to 494,564.60, 740,972.10 and 463,071.80 is: 693,788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,564.60 : 740,972.10 = 463,071.80 : x
  2. Step 2: Convert to fraction form
    494,564.60/740,972.10 = 463,071.80/x
  3. Step 3: Cross multiply
    494,564.60x = 740,972.10 × 463,071.80
  4. Step 4: Simplify right side
    494,564.60x = 343,123,284,096.78
  5. Step 5: Solve for x
    x = 343,123,284,096.78/494,564.60
  6. Step 6: Final answer
    x = 693,788.61

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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.