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Finding the Fourth Proportional to 289,658.27, 399,744.83 and 162,342.06

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Solution

The fourth proportional to 289,658.27, 399,744.83 and 162,342.06 is: 224,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,658.27 : 399,744.83 = 162,342.06 : x
  2. Step 2: Convert to fraction form
    289,658.27/399,744.83 = 162,342.06/x
  3. Step 3: Cross multiply
    289,658.27x = 399,744.83 × 162,342.06
  4. Step 4: Simplify right side
    289,658.27x = 64,895,399,176.55
  5. Step 5: Solve for x
    x = 64,895,399,176.55/289,658.27
  6. Step 6: Final answer
    x = 224,041.24

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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.