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Finding the Fourth Proportional to 452,553, 678,916.85 and 172,048.38

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Solution

The fourth proportional to 452,553, 678,916.85 and 172,048.38 is: 258,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,553 : 678,916.85 = 172,048.38 : x
  2. Step 2: Convert to fraction form
    452,553/678,916.85 = 172,048.38/x
  3. Step 3: Cross multiply
    452,553x = 678,916.85 × 172,048.38
  4. Step 4: Simplify right side
    452,553x = 116,806,543,336.96
  5. Step 5: Solve for x
    x = 116,806,543,336.96/452,553
  6. Step 6: Final answer
    x = 258,105.78

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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.