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Finding the Fourth Proportional to 494,094.68, 740,995.02 and 209,781.04

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Solution

The fourth proportional to 494,094.68, 740,995.02 and 209,781.04 is: 314,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,094.68 : 740,995.02 = 209,781.04 : x
  2. Step 2: Convert to fraction form
    494,094.68/740,995.02 = 209,781.04/x
  3. Step 3: Cross multiply
    494,094.68x = 740,995.02 × 209,781.04
  4. Step 4: Simplify right side
    494,094.68x = 155,446,705,930.42
  5. Step 5: Solve for x
    x = 155,446,705,930.42/494,094.68
  6. Step 6: Final answer
    x = 314,609.15

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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.