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Finding the Fourth Proportional to 407,745.84, 562,682.12 and 226,450.83

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Solution

The fourth proportional to 407,745.84, 562,682.12 and 226,450.83 is: 312,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,745.84 : 562,682.12 = 226,450.83 : x
  2. Step 2: Convert to fraction form
    407,745.84/562,682.12 = 226,450.83/x
  3. Step 3: Cross multiply
    407,745.84x = 562,682.12 × 226,450.83
  4. Step 4: Simplify right side
    407,745.84x = 127,419,831,967.91
  5. Step 5: Solve for x
    x = 127,419,831,967.91/407,745.84
  6. Step 6: Final answer
    x = 312,498.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.