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Finding the Fourth Proportional to 362,534, 543,916.56 and 152,115.44

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Solution

The fourth proportional to 362,534, 543,916.56 and 152,115.44 is: 228,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,534 : 543,916.56 = 152,115.44 : x
  2. Step 2: Convert to fraction form
    362,534/543,916.56 = 152,115.44/x
  3. Step 3: Cross multiply
    362,534x = 543,916.56 × 152,115.44
  4. Step 4: Simplify right side
    362,534x = 82,738,106,847.69
  5. Step 5: Solve for x
    x = 82,738,106,847.69/362,534
  6. Step 6: Final answer
    x = 228,221.65

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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.