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Finding the Fourth Proportional to 467,381.96, 700,792.74 and 214,345.52

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Solution

The fourth proportional to 467,381.96, 700,792.74 and 214,345.52 is: 321,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,381.96 : 700,792.74 = 214,345.52 : x
  2. Step 2: Convert to fraction form
    467,381.96/700,792.74 = 214,345.52/x
  3. Step 3: Cross multiply
    467,381.96x = 700,792.74 × 214,345.52
  4. Step 4: Simplify right side
    467,381.96x = 150,211,784,267.53
  5. Step 5: Solve for x
    x = 150,211,784,267.53/467,381.96
  6. Step 6: Final answer
    x = 321,389.78

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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.