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Finding the Fourth Proportional to 519,093.74, 778,779.12 and 164,114.48

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Solution

The fourth proportional to 519,093.74, 778,779.12 and 164,114.48 is: 246,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,093.74 : 778,779.12 = 164,114.48 : x
  2. Step 2: Convert to fraction form
    519,093.74/778,779.12 = 164,114.48/x
  3. Step 3: Cross multiply
    519,093.74x = 778,779.12 × 164,114.48
  4. Step 4: Simplify right side
    519,093.74x = 127,808,930,313.66
  5. Step 5: Solve for x
    x = 127,808,930,313.66/519,093.74
  6. Step 6: Final answer
    x = 246,215.51

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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.