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Finding the Fourth Proportional to 395,939.20, 593,908.80 and 96,417.40

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Solution

The fourth proportional to 395,939.20, 593,908.80 and 96,417.40 is: 144,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,939.20 : 593,908.80 = 96,417.40 : x
  2. Step 2: Convert to fraction form
    395,939.20/593,908.80 = 96,417.40/x
  3. Step 3: Cross multiply
    395,939.20x = 593,908.80 × 96,417.40
  4. Step 4: Simplify right side
    395,939.20x = 57,263,142,333.12
  5. Step 5: Solve for x
    x = 57,263,142,333.12/395,939.20
  6. Step 6: Final answer
    x = 144,626.10

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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.