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Finding the Fourth Proportional to 562,203.94, 843,582.94 and 262,705.22

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Solution

The fourth proportional to 562,203.94, 843,582.94 and 262,705.22 is: 394,187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,203.94 : 843,582.94 = 262,705.22 : x
  2. Step 2: Convert to fraction form
    562,203.94/843,582.94 = 262,705.22/x
  3. Step 3: Cross multiply
    562,203.94x = 843,582.94 × 262,705.22
  4. Step 4: Simplify right side
    562,203.94x = 221,613,641,840.95
  5. Step 5: Solve for x
    x = 221,613,641,840.95/562,203.94
  6. Step 6: Final answer
    x = 394,187.28

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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.