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Finding the Fourth Proportional to 562,016.90, 842,813.76 and 182,838.44

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Solution

The fourth proportional to 562,016.90, 842,813.76 and 182,838.44 is: 274,188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,016.90 : 842,813.76 = 182,838.44 : x
  2. Step 2: Convert to fraction form
    562,016.90/842,813.76 = 182,838.44/x
  3. Step 3: Cross multiply
    562,016.90x = 842,813.76 × 182,838.44
  4. Step 4: Simplify right side
    562,016.90x = 154,098,753,088.93
  5. Step 5: Solve for x
    x = 154,098,753,088.93/562,016.90
  6. Step 6: Final answer
    x = 274,188.82

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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.