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Finding the Fourth Proportional to 562,203.82, 843,582.74 and 262,705.10

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Solution

The fourth proportional to 562,203.82, 843,582.74 and 262,705.10 is: 394,187.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,203.82 : 843,582.74 = 262,705.10 : x
  2. Step 2: Convert to fraction form
    562,203.82/843,582.74 = 262,705.10/x
  3. Step 3: Cross multiply
    562,203.82x = 843,582.74 × 262,705.10
  4. Step 4: Simplify right side
    562,203.82x = 221,613,488,069.97
  5. Step 5: Solve for x
    x = 221,613,488,069.97/562,203.82
  6. Step 6: Final answer
    x = 394,187.09

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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.