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Finding the Fourth Proportional to 519,097.10, 778,640.94 and 164,111.22

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Solution

The fourth proportional to 519,097.10, 778,640.94 and 164,111.22 is: 246,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,097.10 : 778,640.94 = 164,111.22 : x
  2. Step 2: Convert to fraction form
    519,097.10/778,640.94 = 164,111.22/x
  3. Step 3: Cross multiply
    519,097.10x = 778,640.94 × 164,111.22
  4. Step 4: Simplify right side
    519,097.10x = 127,783,714,605.35
  5. Step 5: Solve for x
    x = 127,783,714,605.35/519,097.10
  6. Step 6: Final answer
    x = 246,165.34

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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.