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Finding the Fourth Proportional to 413,876.10, 620,814.15 and 164,558.10

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Solution

The fourth proportional to 413,876.10, 620,814.15 and 164,558.10 is: 246,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,876.10 : 620,814.15 = 164,558.10 : x
  2. Step 2: Convert to fraction form
    413,876.10/620,814.15 = 164,558.10/x
  3. Step 3: Cross multiply
    413,876.10x = 620,814.15 × 164,558.10
  4. Step 4: Simplify right side
    413,876.10x = 102,159,996,977.12
  5. Step 5: Solve for x
    x = 102,159,996,977.12/413,876.10
  6. Step 6: Final answer
    x = 246,837.15

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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.