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Finding the Fourth Proportional to 296,013.89, 408,530.82 and 181,368.62

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Solution

The fourth proportional to 296,013.89, 408,530.82 and 181,368.62 is: 250,308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,013.89 : 408,530.82 = 181,368.62 : x
  2. Step 2: Convert to fraction form
    296,013.89/408,530.82 = 181,368.62/x
  3. Step 3: Cross multiply
    296,013.89x = 408,530.82 × 181,368.62
  4. Step 4: Simplify right side
    296,013.89x = 74,094,669,008.21
  5. Step 5: Solve for x
    x = 74,094,669,008.21/296,013.89
  6. Step 6: Final answer
    x = 250,308.09

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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.