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Finding the Fourth Proportional to 562,353.82, 842,471.44 and 277,711.32

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Solution

The fourth proportional to 562,353.82, 842,471.44 and 277,711.32 is: 416,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,353.82 : 842,471.44 = 277,711.32 : x
  2. Step 2: Convert to fraction form
    562,353.82/842,471.44 = 277,711.32/x
  3. Step 3: Cross multiply
    562,353.82x = 842,471.44 × 277,711.32
  4. Step 4: Simplify right side
    562,353.82x = 233,963,855,664.70
  5. Step 5: Solve for x
    x = 233,963,855,664.70/562,353.82
  6. Step 6: Final answer
    x = 416,043.86

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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.