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Finding the Fourth Proportional to 404,104.40, 605,767.80 and 314,097.20

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Solution

The fourth proportional to 404,104.40, 605,767.80 and 314,097.20 is: 470,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,104.40 : 605,767.80 = 314,097.20 : x
  2. Step 2: Convert to fraction form
    404,104.40/605,767.80 = 314,097.20/x
  3. Step 3: Cross multiply
    404,104.40x = 605,767.80 × 314,097.20
  4. Step 4: Simplify right side
    404,104.40x = 190,269,969,830.16
  5. Step 5: Solve for x
    x = 190,269,969,830.16/404,104.40
  6. Step 6: Final answer
    x = 470,843.60

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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.