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Finding the Fourth Proportional to 386,191.02, 532,934.64 and 214,108.14

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Solution

The fourth proportional to 386,191.02, 532,934.64 and 214,108.14 is: 295,464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,191.02 : 532,934.64 = 214,108.14 : x
  2. Step 2: Convert to fraction form
    386,191.02/532,934.64 = 214,108.14/x
  3. Step 3: Cross multiply
    386,191.02x = 532,934.64 × 214,108.14
  4. Step 4: Simplify right side
    386,191.02x = 114,105,644,511.97
  5. Step 5: Solve for x
    x = 114,105,644,511.97/386,191.02
  6. Step 6: Final answer
    x = 295,464.26

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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.