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Finding the Fourth Proportional to 253,894.44, 380,999.82 and 230,244.72

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Solution

The fourth proportional to 253,894.44, 380,999.82 and 230,244.72 is: 345,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,894.44 : 380,999.82 = 230,244.72 : x
  2. Step 2: Convert to fraction form
    253,894.44/380,999.82 = 230,244.72/x
  3. Step 3: Cross multiply
    253,894.44x = 380,999.82 × 230,244.72
  4. Step 4: Simplify right side
    253,894.44x = 87,723,196,875.95
  5. Step 5: Solve for x
    x = 87,723,196,875.95/253,894.44
  6. Step 6: Final answer
    x = 345,510.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.