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Finding the Fourth Proportional to 519,279.94, 778,948.26 and 164,267.56

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Solution

The fourth proportional to 519,279.94, 778,948.26 and 164,267.56 is: 246,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,279.94 : 778,948.26 = 164,267.56 : x
  2. Step 2: Convert to fraction form
    519,279.94/778,948.26 = 164,267.56/x
  3. Step 3: Cross multiply
    519,279.94x = 778,948.26 × 164,267.56
  4. Step 4: Simplify right side
    519,279.94x = 127,955,930,036.45
  5. Step 5: Solve for x
    x = 127,955,930,036.45/519,279.94
  6. Step 6: Final answer
    x = 246,410.31

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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.