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Finding the Fourth Proportional to 563,099.78, 844,732.02 and 163,688.64

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Solution

The fourth proportional to 563,099.78, 844,732.02 and 163,688.64 is: 245,556.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,099.78 : 844,732.02 = 163,688.64 : x
  2. Step 2: Convert to fraction form
    563,099.78/844,732.02 = 163,688.64/x
  3. Step 3: Cross multiply
    563,099.78x = 844,732.02 × 163,688.64
  4. Step 4: Simplify right side
    563,099.78x = 138,273,035,518.25
  5. Step 5: Solve for x
    x = 138,273,035,518.25/563,099.78
  6. Step 6: Final answer
    x = 245,556.90

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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.