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Finding the Fourth Proportional to 405,499.35, 559,566.49 and 224,200.39

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Solution

The fourth proportional to 405,499.35, 559,566.49 and 224,200.39 is: 309,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,499.35 : 559,566.49 = 224,200.39 : x
  2. Step 2: Convert to fraction form
    405,499.35/559,566.49 = 224,200.39/x
  3. Step 3: Cross multiply
    405,499.35x = 559,566.49 × 224,200.39
  4. Step 4: Simplify right side
    405,499.35x = 125,455,025,288.93
  5. Step 5: Solve for x
    x = 125,455,025,288.93/405,499.35
  6. Step 6: Final answer
    x = 309,384.04

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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.