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Finding the Fourth Proportional to 393,905.60, 590,931.30 and 127,674.80

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Solution

The fourth proportional to 393,905.60, 590,931.30 and 127,674.80 is: 191,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,905.60 : 590,931.30 = 127,674.80 : x
  2. Step 2: Convert to fraction form
    393,905.60/590,931.30 = 127,674.80/x
  3. Step 3: Cross multiply
    393,905.60x = 590,931.30 × 127,674.80
  4. Step 4: Simplify right side
    393,905.60x = 75,447,035,541.24
  5. Step 5: Solve for x
    x = 75,447,035,541.24/393,905.60
  6. Step 6: Final answer
    x = 191,535.83

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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.