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Finding the Fourth Proportional to 395,551.76, 593,262.02 and 142,783.76

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Solution

The fourth proportional to 395,551.76, 593,262.02 and 142,783.76 is: 214,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,551.76 : 593,262.02 = 142,783.76 : x
  2. Step 2: Convert to fraction form
    395,551.76/593,262.02 = 142,783.76/x
  3. Step 3: Cross multiply
    395,551.76x = 593,262.02 × 142,783.76
  4. Step 4: Simplify right side
    395,551.76x = 84,708,183,720.91
  5. Step 5: Solve for x
    x = 84,708,183,720.91/395,551.76
  6. Step 6: Final answer
    x = 214,151.96

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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.