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Finding the Fourth Proportional to 393,646.30, 590,563.13 and 127,406.79

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Solution

The fourth proportional to 393,646.30, 590,563.13 and 127,406.79 is: 191,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,646.30 : 590,563.13 = 127,406.79 : x
  2. Step 2: Convert to fraction form
    393,646.30/590,563.13 = 127,406.79/x
  3. Step 3: Cross multiply
    393,646.30x = 590,563.13 × 127,406.79
  4. Step 4: Simplify right side
    393,646.30x = 75,241,752,048.62
  5. Step 5: Solve for x
    x = 75,241,752,048.62/393,646.30
  6. Step 6: Final answer
    x = 191,140.50

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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.