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Finding the Fourth Proportional to 404,103.90, 605,767.05 and 314,096.70

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Solution

The fourth proportional to 404,103.90, 605,767.05 and 314,096.70 is: 470,842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,103.90 : 605,767.05 = 314,096.70 : x
  2. Step 2: Convert to fraction form
    404,103.90/605,767.05 = 314,096.70/x
  3. Step 3: Cross multiply
    404,103.90x = 605,767.05 × 314,096.70
  4. Step 4: Simplify right side
    404,103.90x = 190,269,431,373.74
  5. Step 5: Solve for x
    x = 190,269,431,373.74/404,103.90
  6. Step 6: Final answer
    x = 470,842.85

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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.