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Finding the Fourth Proportional to 405,524.08, 559,593.30 and 224,238.40

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Solution

The fourth proportional to 405,524.08, 559,593.30 and 224,238.40 is: 309,432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,524.08 : 559,593.30 = 224,238.40 : x
  2. Step 2: Convert to fraction form
    405,524.08/559,593.30 = 224,238.40/x
  3. Step 3: Cross multiply
    405,524.08x = 559,593.30 × 224,238.40
  4. Step 4: Simplify right side
    405,524.08x = 125,482,306,242.72
  5. Step 5: Solve for x
    x = 125,482,306,242.72/405,524.08
  6. Step 6: Final answer
    x = 309,432.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.