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Finding the Fourth Proportional to 328,183.76, 492,275.60 and 78,865.76

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Solution

The fourth proportional to 328,183.76, 492,275.60 and 78,865.76 is: 118,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,183.76 : 492,275.60 = 78,865.76 : x
  2. Step 2: Convert to fraction form
    328,183.76/492,275.60 = 78,865.76/x
  3. Step 3: Cross multiply
    328,183.76x = 492,275.60 × 78,865.76
  4. Step 4: Simplify right side
    328,183.76x = 38,823,689,323.46
  5. Step 5: Solve for x
    x = 38,823,689,323.46/328,183.76
  6. Step 6: Final answer
    x = 118,298.63

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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.