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Finding the Fourth Proportional to 392,913.60, 589,370.40 and 97,425.60

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Solution

The fourth proportional to 392,913.60, 589,370.40 and 97,425.60 is: 146,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,913.60 : 589,370.40 = 97,425.60 : x
  2. Step 2: Convert to fraction form
    392,913.60/589,370.40 = 97,425.60/x
  3. Step 3: Cross multiply
    392,913.60x = 589,370.40 × 97,425.60
  4. Step 4: Simplify right side
    392,913.60x = 57,419,764,842.24
  5. Step 5: Solve for x
    x = 57,419,764,842.24/392,913.60
  6. Step 6: Final answer
    x = 146,138.40

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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.