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Finding the Fourth Proportional to 521,006.84, 781,400.91 and 146,942.36

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Solution

The fourth proportional to 521,006.84, 781,400.91 and 146,942.36 is: 220,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,006.84 : 781,400.91 = 146,942.36 : x
  2. Step 2: Convert to fraction form
    521,006.84/781,400.91 = 146,942.36/x
  3. Step 3: Cross multiply
    521,006.84x = 781,400.91 × 146,942.36
  4. Step 4: Simplify right side
    521,006.84x = 114,820,889,179.83
  5. Step 5: Solve for x
    x = 114,820,889,179.83/521,006.84
  6. Step 6: Final answer
    x = 220,382.69

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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.