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Finding the Fourth Proportional to 404,139.40, 605,820.30 and 314,132.20

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Solution

The fourth proportional to 404,139.40, 605,820.30 and 314,132.20 is: 470,896.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,139.40 : 605,820.30 = 314,132.20 : x
  2. Step 2: Convert to fraction form
    404,139.40/605,820.30 = 314,132.20/x
  3. Step 3: Cross multiply
    404,139.40x = 605,820.30 × 314,132.20
  4. Step 4: Simplify right side
    404,139.40x = 190,307,663,643.66
  5. Step 5: Solve for x
    x = 190,307,663,643.66/404,139.40
  6. Step 6: Final answer
    x = 470,896.09

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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.