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Finding the Fourth Proportional to 404,548.70, 606,943.83 and 120,248.78

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Solution

The fourth proportional to 404,548.70, 606,943.83 and 120,248.78 is: 180,409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,548.70 : 606,943.83 = 120,248.78 : x
  2. Step 2: Convert to fraction form
    404,548.70/606,943.83 = 120,248.78/x
  3. Step 3: Cross multiply
    404,548.70x = 606,943.83 × 120,248.78
  4. Step 4: Simplify right side
    404,548.70x = 72,984,255,086.03
  5. Step 5: Solve for x
    x = 72,984,255,086.03/404,548.70
  6. Step 6: Final answer
    x = 180,409.07

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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.