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Finding the Fourth Proportional to 405,498.91, 559,564.44 and 224,196.61

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Solution

The fourth proportional to 405,498.91, 559,564.44 and 224,196.61 is: 309,378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,498.91 : 559,564.44 = 224,196.61 : x
  2. Step 2: Convert to fraction form
    405,498.91/559,564.44 = 224,196.61/x
  3. Step 3: Cross multiply
    405,498.91x = 559,564.44 × 224,196.61
  4. Step 4: Simplify right side
    405,498.91x = 125,452,450,524.55
  5. Step 5: Solve for x
    x = 125,452,450,524.55/405,498.91
  6. Step 6: Final answer
    x = 309,378.02

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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.