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Finding the Fourth Proportional to 405,479.84, 559,558.46 and 224,196.44

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Solution

The fourth proportional to 405,479.84, 559,558.46 and 224,196.44 is: 309,389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,479.84 : 559,558.46 = 224,196.44 : x
  2. Step 2: Convert to fraction form
    405,479.84/559,558.46 = 224,196.44/x
  3. Step 3: Cross multiply
    405,479.84x = 559,558.46 × 224,196.44
  4. Step 4: Simplify right side
    405,479.84x = 125,451,014,703.88
  5. Step 5: Solve for x
    x = 125,451,014,703.88/405,479.84
  6. Step 6: Final answer
    x = 309,389.03

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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.