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Finding the Fourth Proportional to 395,313.42, 545,531.74 and 214,025.32

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Solution

The fourth proportional to 395,313.42, 545,531.74 and 214,025.32 is: 295,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,313.42 : 545,531.74 = 214,025.32 : x
  2. Step 2: Convert to fraction form
    395,313.42/545,531.74 = 214,025.32/x
  3. Step 3: Cross multiply
    395,313.42x = 545,531.74 × 214,025.32
  4. Step 4: Simplify right side
    395,313.42x = 116,757,603,324.76
  5. Step 5: Solve for x
    x = 116,757,603,324.76/395,313.42
  6. Step 6: Final answer
    x = 295,354.51

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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.