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Finding the Fourth Proportional to 395,651.76, 593,501.76 and 129,440.40

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Solution

The fourth proportional to 395,651.76, 593,501.76 and 129,440.40 is: 194,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,651.76 : 593,501.76 = 129,440.40 : x
  2. Step 2: Convert to fraction form
    395,651.76/593,501.76 = 129,440.40/x
  3. Step 3: Cross multiply
    395,651.76x = 593,501.76 × 129,440.40
  4. Step 4: Simplify right side
    395,651.76x = 76,823,105,215.10
  5. Step 5: Solve for x
    x = 76,823,105,215.10/395,651.76
  6. Step 6: Final answer
    x = 194,168.49

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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.