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Finding the Fourth Proportional to 405,507.14, 559,575.82 and 224,204.84

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Solution

The fourth proportional to 405,507.14, 559,575.82 and 224,204.84 is: 309,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,507.14 : 559,575.82 = 224,204.84 : x
  2. Step 2: Convert to fraction form
    405,507.14/559,575.82 = 224,204.84/x
  3. Step 3: Cross multiply
    405,507.14x = 559,575.82 × 224,204.84
  4. Step 4: Simplify right side
    405,507.14x = 125,459,608,029.40
  5. Step 5: Solve for x
    x = 125,459,608,029.40/405,507.14
  6. Step 6: Final answer
    x = 309,389.39

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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.