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Finding the Fourth Proportional to 393,834.40, 590,809.20 and 127,549.60

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Solution

The fourth proportional to 393,834.40, 590,809.20 and 127,549.60 is: 191,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,834.40 : 590,809.20 = 127,549.60 : x
  2. Step 2: Convert to fraction form
    393,834.40/590,809.20 = 127,549.60/x
  3. Step 3: Cross multiply
    393,834.40x = 590,809.20 × 127,549.60
  4. Step 4: Simplify right side
    393,834.40x = 75,357,477,136.32
  5. Step 5: Solve for x
    x = 75,357,477,136.32/393,834.40
  6. Step 6: Final answer
    x = 191,343.05

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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.