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Finding the Fourth Proportional to 519,093.28, 778,635.06 and 164,107.34

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Solution

The fourth proportional to 519,093.28, 778,635.06 and 164,107.34 is: 246,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,093.28 : 778,635.06 = 164,107.34 : x
  2. Step 2: Convert to fraction form
    519,093.28/778,635.06 = 164,107.34/x
  3. Step 3: Cross multiply
    519,093.28x = 778,635.06 × 164,107.34
  4. Step 4: Simplify right side
    519,093.28x = 127,779,728,527.34
  5. Step 5: Solve for x
    x = 127,779,728,527.34/519,093.28
  6. Step 6: Final answer
    x = 246,159.47

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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.