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Finding the Fourth Proportional to 522,166.50, 783,324.50 and 198,073.76

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Solution

The fourth proportional to 522,166.50, 783,324.50 and 198,073.76 is: 297,138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,166.50 : 783,324.50 = 198,073.76 : x
  2. Step 2: Convert to fraction form
    522,166.50/783,324.50 = 198,073.76/x
  3. Step 3: Cross multiply
    522,166.50x = 783,324.50 × 198,073.76
  4. Step 4: Simplify right side
    522,166.50x = 155,156,024,108.13
  5. Step 5: Solve for x
    x = 155,156,024,108.13/522,166.50
  6. Step 6: Final answer
    x = 297,138.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.