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Finding the Fourth Proportional to 395,851.20, 593,776.80 and 96,329.40

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Solution

The fourth proportional to 395,851.20, 593,776.80 and 96,329.40 is: 144,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,851.20 : 593,776.80 = 96,329.40 : x
  2. Step 2: Convert to fraction form
    395,851.20/593,776.80 = 96,329.40/x
  3. Step 3: Cross multiply
    395,851.20x = 593,776.80 × 96,329.40
  4. Step 4: Simplify right side
    395,851.20x = 57,198,162,877.92
  5. Step 5: Solve for x
    x = 57,198,162,877.92/395,851.20
  6. Step 6: Final answer
    x = 144,494.10

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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.