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Finding the Fourth Proportional to 289,586.16, 399,305.16 and 182,024.64

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Solution

The fourth proportional to 289,586.16, 399,305.16 and 182,024.64 is: 250,990.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,586.16 : 399,305.16 = 182,024.64 : x
  2. Step 2: Convert to fraction form
    289,586.16/399,305.16 = 182,024.64/x
  3. Step 3: Cross multiply
    289,586.16x = 399,305.16 × 182,024.64
  4. Step 4: Simplify right side
    289,586.16x = 72,683,377,999.14
  5. Step 5: Solve for x
    x = 72,683,377,999.14/289,586.16
  6. Step 6: Final answer
    x = 250,990.51

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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.