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Finding the Fourth Proportional to 519,282.94, 778,952.79 and 164,270.56

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Solution

The fourth proportional to 519,282.94, 778,952.79 and 164,270.56 is: 246,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,282.94 : 778,952.79 = 164,270.56 : x
  2. Step 2: Convert to fraction form
    519,282.94/778,952.79 = 164,270.56/x
  3. Step 3: Cross multiply
    519,282.94x = 778,952.79 × 164,270.56
  4. Step 4: Simplify right side
    519,282.94x = 127,959,011,026.86
  5. Step 5: Solve for x
    x = 127,959,011,026.86/519,282.94
  6. Step 6: Final answer
    x = 246,414.82

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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.