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Finding the Fourth Proportional to 339,154.34, 468,049.89 and 186,191.46

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Solution

The fourth proportional to 339,154.34, 468,049.89 and 186,191.46 is: 256,953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,154.34 : 468,049.89 = 186,191.46 : x
  2. Step 2: Convert to fraction form
    339,154.34/468,049.89 = 186,191.46/x
  3. Step 3: Cross multiply
    339,154.34x = 468,049.89 × 186,191.46
  4. Step 4: Simplify right side
    339,154.34x = 87,146,893,070.16
  5. Step 5: Solve for x
    x = 87,146,893,070.16/339,154.34
  6. Step 6: Final answer
    x = 256,953.49

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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.