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Finding the Fourth Proportional to 384,042.65, 529,967.81 and 214,273.13

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Solution

The fourth proportional to 384,042.65, 529,967.81 and 214,273.13 is: 295,690.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,042.65 : 529,967.81 = 214,273.13 : x
  2. Step 2: Convert to fraction form
    384,042.65/529,967.81 = 214,273.13/x
  3. Step 3: Cross multiply
    384,042.65x = 529,967.81 × 214,273.13
  4. Step 4: Simplify right side
    384,042.65x = 113,557,857,726.74
  5. Step 5: Solve for x
    x = 113,557,857,726.74/384,042.65
  6. Step 6: Final answer
    x = 295,690.75

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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.