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Finding the Fourth Proportional to 404,528.80, 606,647.40 and 204,782.80

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Solution

The fourth proportional to 404,528.80, 606,647.40 and 204,782.80 is: 307,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,528.80 : 606,647.40 = 204,782.80 : x
  2. Step 2: Convert to fraction form
    404,528.80/606,647.40 = 204,782.80/x
  3. Step 3: Cross multiply
    404,528.80x = 606,647.40 × 204,782.80
  4. Step 4: Simplify right side
    404,528.80x = 124,230,953,184.72
  5. Step 5: Solve for x
    x = 124,230,953,184.72/404,528.80
  6. Step 6: Final answer
    x = 307,100.39

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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.