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Finding the Fourth Proportional to 339,820.10, 468,963.76 and 186,869.96

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Solution

The fourth proportional to 339,820.10, 468,963.76 and 186,869.96 is: 257,887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,820.10 : 468,963.76 = 186,869.96 : x
  2. Step 2: Convert to fraction form
    339,820.10/468,963.76 = 186,869.96/x
  3. Step 3: Cross multiply
    339,820.10x = 468,963.76 × 186,869.96
  4. Step 4: Simplify right side
    339,820.10x = 87,635,239,072.65
  5. Step 5: Solve for x
    x = 87,635,239,072.65/339,820.10
  6. Step 6: Final answer
    x = 257,887.16

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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.