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Finding the Fourth Proportional to 339,864.12, 469,000.22 and 186,901.02

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Solution

The fourth proportional to 339,864.12, 469,000.22 and 186,901.02 is: 257,916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,864.12 : 469,000.22 = 186,901.02 : x
  2. Step 2: Convert to fraction form
    339,864.12/469,000.22 = 186,901.02/x
  3. Step 3: Cross multiply
    339,864.12x = 469,000.22 × 186,901.02
  4. Step 4: Simplify right side
    339,864.12x = 87,656,618,563.72
  5. Step 5: Solve for x
    x = 87,656,618,563.72/339,864.12
  6. Step 6: Final answer
    x = 257,916.66

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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.