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Finding the Fourth Proportional to 405,543.27, 559,600.88 and 224,230.71

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Solution

The fourth proportional to 405,543.27, 559,600.88 and 224,230.71 is: 309,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,543.27 : 559,600.88 = 224,230.71 : x
  2. Step 2: Convert to fraction form
    405,543.27/559,600.88 = 224,230.71/x
  3. Step 3: Cross multiply
    405,543.27x = 559,600.88 × 224,230.71
  4. Step 4: Simplify right side
    405,543.27x = 125,479,701,517.87
  5. Step 5: Solve for x
    x = 125,479,701,517.87/405,543.27
  6. Step 6: Final answer
    x = 309,411.38

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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.