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Finding the Fourth Proportional to 562,378.82, 842,508.95 and 277,736.31

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Solution

The fourth proportional to 562,378.82, 842,508.95 and 277,736.31 is: 416,081.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,378.82 : 842,508.95 = 277,736.31 : x
  2. Step 2: Convert to fraction form
    562,378.82/842,508.95 = 277,736.31/x
  3. Step 3: Cross multiply
    562,378.82x = 842,508.95 × 277,736.31
  4. Step 4: Simplify right side
    562,378.82x = 233,995,325,526.29
  5. Step 5: Solve for x
    x = 233,995,325,526.29/562,378.82
  6. Step 6: Final answer
    x = 416,081.33

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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.