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Finding the Fourth Proportional to 269,048.40, 404,447.40 and 190,705.20

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Solution

The fourth proportional to 269,048.40, 404,447.40 and 190,705.20 is: 286,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,048.40 : 404,447.40 = 190,705.20 : x
  2. Step 2: Convert to fraction form
    269,048.40/404,447.40 = 190,705.20/x
  3. Step 3: Cross multiply
    269,048.40x = 404,447.40 × 190,705.20
  4. Step 4: Simplify right side
    269,048.40x = 77,130,222,306.48
  5. Step 5: Solve for x
    x = 77,130,222,306.48/269,048.40
  6. Step 6: Final answer
    x = 286,677.87

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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.