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Finding the Fourth Proportional to 404,406.40, 606,220.80 and 314,399.20

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Solution

The fourth proportional to 404,406.40, 606,220.80 and 314,399.20 is: 471,296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,406.40 : 606,220.80 = 314,399.20 : x
  2. Step 2: Convert to fraction form
    404,406.40/606,220.80 = 314,399.20/x
  3. Step 3: Cross multiply
    404,406.40x = 606,220.80 × 314,399.20
  4. Step 4: Simplify right side
    404,406.40x = 190,595,334,543.36
  5. Step 5: Solve for x
    x = 190,595,334,543.36/404,406.40
  6. Step 6: Final answer
    x = 471,296.53

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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.