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Finding the Fourth Proportional to 375,524.76, 518,272.38 and 214,342.86

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Solution

The fourth proportional to 375,524.76, 518,272.38 and 214,342.86 is: 295,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,524.76 : 518,272.38 = 214,342.86 : x
  2. Step 2: Convert to fraction form
    375,524.76/518,272.38 = 214,342.86/x
  3. Step 3: Cross multiply
    375,524.76x = 518,272.38 × 214,342.86
  4. Step 4: Simplify right side
    375,524.76x = 111,087,984,188.21
  5. Step 5: Solve for x
    x = 111,087,984,188.21/375,524.76
  6. Step 6: Final answer
    x = 295,820.66

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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.