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Finding the Fourth Proportional to 562,351.70, 842,468.14 and 277,709.06

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Solution

The fourth proportional to 562,351.70, 842,468.14 and 277,709.06 is: 416,040.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,351.70 : 842,468.14 = 277,709.06 : x
  2. Step 2: Convert to fraction form
    562,351.70/842,468.14 = 277,709.06/x
  3. Step 3: Cross multiply
    562,351.70x = 842,468.14 × 277,709.06
  4. Step 4: Simplify right side
    562,351.70x = 233,961,033,850.80
  5. Step 5: Solve for x
    x = 233,961,033,850.80/562,351.70
  6. Step 6: Final answer
    x = 416,040.41

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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.