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Finding the Fourth Proportional to 405,338.73, 559,337.85 and 224,040.48

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Solution

The fourth proportional to 405,338.73, 559,337.85 and 224,040.48 is: 309,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,338.73 : 559,337.85 = 224,040.48 : x
  2. Step 2: Convert to fraction form
    405,338.73/559,337.85 = 224,040.48/x
  3. Step 3: Cross multiply
    405,338.73x = 559,337.85 × 224,040.48
  4. Step 4: Simplify right side
    405,338.73x = 125,314,320,396.17
  5. Step 5: Solve for x
    x = 125,314,320,396.17/405,338.73
  6. Step 6: Final answer
    x = 309,159.50

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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.