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Finding the Fourth Proportional to 405,512.52, 559,584.69 and 224,213.57

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Solution

The fourth proportional to 405,512.52, 559,584.69 and 224,213.57 is: 309,402.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,512.52 : 559,584.69 = 224,213.57 : x
  2. Step 2: Convert to fraction form
    405,512.52/559,584.69 = 224,213.57/x
  3. Step 3: Cross multiply
    405,512.52x = 559,584.69 × 224,213.57
  4. Step 4: Simplify right side
    405,512.52x = 125,466,478,264.32
  5. Step 5: Solve for x
    x = 125,466,478,264.32/405,512.52
  6. Step 6: Final answer
    x = 309,402.23

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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.