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Finding the Fourth Proportional to 296,633.29, 444,960.87 and 152,500.54

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Solution

The fourth proportional to 296,633.29, 444,960.87 and 152,500.54 is: 228,756.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,633.29 : 444,960.87 = 152,500.54 : x
  2. Step 2: Convert to fraction form
    296,633.29/444,960.87 = 152,500.54/x
  3. Step 3: Cross multiply
    296,633.29x = 444,960.87 × 152,500.54
  4. Step 4: Simplify right side
    296,633.29x = 67,856,772,953.87
  5. Step 5: Solve for x
    x = 67,856,772,953.87/296,633.29
  6. Step 6: Final answer
    x = 228,756.43

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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.