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Finding the Fourth Proportional to 404,102.60, 606,521.10 and 204,561.80

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Solution

The fourth proportional to 404,102.60, 606,521.10 and 204,561.80 is: 307,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,102.60 : 606,521.10 = 204,561.80 : x
  2. Step 2: Convert to fraction form
    404,102.60/606,521.10 = 204,561.80/x
  3. Step 3: Cross multiply
    404,102.60x = 606,521.10 × 204,561.80
  4. Step 4: Simplify right side
    404,102.60x = 124,071,047,953.98
  5. Step 5: Solve for x
    x = 124,071,047,953.98/404,102.60
  6. Step 6: Final answer
    x = 307,028.58

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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.