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Finding the Fourth Proportional to 315,733.92, 471,297.62 and 275,875.44

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Solution

The fourth proportional to 315,733.92, 471,297.62 and 275,875.44 is: 411,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,733.92 : 471,297.62 = 275,875.44 : x
  2. Step 2: Convert to fraction form
    315,733.92/471,297.62 = 275,875.44/x
  3. Step 3: Cross multiply
    315,733.92x = 471,297.62 × 275,875.44
  4. Step 4: Simplify right side
    315,733.92x = 130,019,436,909.08
  5. Step 5: Solve for x
    x = 130,019,436,909.08/315,733.92
  6. Step 6: Final answer
    x = 411,800.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.