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Finding the Fourth Proportional to 404,207.40, 605,922.30 and 314,200.20

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Solution

The fourth proportional to 404,207.40, 605,922.30 and 314,200.20 is: 470,998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,207.40 : 605,922.30 = 314,200.20 : x
  2. Step 2: Convert to fraction form
    404,207.40/605,922.30 = 314,200.20/x
  3. Step 3: Cross multiply
    404,207.40x = 605,922.30 × 314,200.20
  4. Step 4: Simplify right side
    404,207.40x = 190,380,907,844.46
  5. Step 5: Solve for x
    x = 190,380,907,844.46/404,207.40
  6. Step 6: Final answer
    x = 470,998.08

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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.