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Finding the Fourth Proportional to 514,046.92, 771,109.34 and 159,096.84

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Solution

The fourth proportional to 514,046.92, 771,109.34 and 159,096.84 is: 238,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,046.92 : 771,109.34 = 159,096.84 : x
  2. Step 2: Convert to fraction form
    514,046.92/771,109.34 = 159,096.84/x
  3. Step 3: Cross multiply
    514,046.92x = 771,109.34 × 159,096.84
  4. Step 4: Simplify right side
    514,046.92x = 122,681,059,288.49
  5. Step 5: Solve for x
    x = 122,681,059,288.49/514,046.92
  6. Step 6: Final answer
    x = 238,657.32

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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.