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Finding the Fourth Proportional to 405,625.40, 559,759.48 and 224,333.44

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Solution

The fourth proportional to 405,625.40, 559,759.48 and 224,333.44 is: 309,578.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,625.40 : 559,759.48 = 224,333.44 : x
  2. Step 2: Convert to fraction form
    405,625.40/559,759.48 = 224,333.44/x
  3. Step 3: Cross multiply
    405,625.40x = 559,759.48 × 224,333.44
  4. Step 4: Simplify right side
    405,625.40x = 125,572,769,721.01
  5. Step 5: Solve for x
    x = 125,572,769,721.01/405,625.40
  6. Step 6: Final answer
    x = 309,578.17

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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.