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Finding the Fourth Proportional to 404,066.40, 605,710.80 and 314,059.20

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Solution

The fourth proportional to 404,066.40, 605,710.80 and 314,059.20 is: 470,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,066.40 : 605,710.80 = 314,059.20 : x
  2. Step 2: Convert to fraction form
    404,066.40/605,710.80 = 314,059.20/x
  3. Step 3: Cross multiply
    404,066.40x = 605,710.80 × 314,059.20
  4. Step 4: Simplify right side
    404,066.40x = 190,229,049,279.36
  5. Step 5: Solve for x
    x = 190,229,049,279.36/404,066.40
  6. Step 6: Final answer
    x = 470,786.61

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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.