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Finding the Fourth Proportional to 395,611.17, 545,943.65 and 214,324.36

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Solution

The fourth proportional to 395,611.17, 545,943.65 and 214,324.36 is: 295,767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,611.17 : 545,943.65 = 214,324.36 : x
  2. Step 2: Convert to fraction form
    395,611.17/545,943.65 = 214,324.36/x
  3. Step 3: Cross multiply
    395,611.17x = 545,943.65 × 214,324.36
  4. Step 4: Simplify right side
    395,611.17x = 117,009,024,016.77
  5. Step 5: Solve for x
    x = 117,009,024,016.77/395,611.17
  6. Step 6: Final answer
    x = 295,767.74

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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.