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Finding the Fourth Proportional to 393,544.44, 590,171.76 and 140,756.40

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Solution

The fourth proportional to 393,544.44, 590,171.76 and 140,756.40 is: 211,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,544.44 : 590,171.76 = 140,756.40 : x
  2. Step 2: Convert to fraction form
    393,544.44/590,171.76 = 140,756.40/x
  3. Step 3: Cross multiply
    393,544.44x = 590,171.76 × 140,756.40
  4. Step 4: Simplify right side
    393,544.44x = 83,070,452,319.26
  5. Step 5: Solve for x
    x = 83,070,452,319.26/393,544.44
  6. Step 6: Final answer
    x = 211,082.77

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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.