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Finding the Fourth Proportional to 405,551.69, 559,664.97 and 224,275.82

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Solution

The fourth proportional to 405,551.69, 559,664.97 and 224,275.82 is: 309,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,551.69 : 559,664.97 = 224,275.82 : x
  2. Step 2: Convert to fraction form
    405,551.69/559,664.97 = 224,275.82/x
  3. Step 3: Cross multiply
    405,551.69x = 559,664.97 × 224,275.82
  4. Step 4: Simplify right side
    405,551.69x = 125,519,320,072.03
  5. Step 5: Solve for x
    x = 125,519,320,072.03/405,551.69
  6. Step 6: Final answer
    x = 309,502.64

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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.