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Finding the Fourth Proportional to 386,467.34, 533,324.45 and 214,411.39

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Solution

The fourth proportional to 386,467.34, 533,324.45 and 214,411.39 is: 295,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,467.34 : 533,324.45 = 214,411.39 : x
  2. Step 2: Convert to fraction form
    386,467.34/533,324.45 = 214,411.39/x
  3. Step 3: Cross multiply
    386,467.34x = 533,324.45 × 214,411.39
  4. Step 4: Simplify right side
    386,467.34x = 114,350,835,848.20
  5. Step 5: Solve for x
    x = 114,350,835,848.20/386,467.34
  6. Step 6: Final answer
    x = 295,887.45

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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.