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Finding the Fourth Proportional to 405,728.51, 559,895.24 and 224,450.51

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Solution

The fourth proportional to 405,728.51, 559,895.24 and 224,450.51 is: 309,736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,728.51 : 559,895.24 = 224,450.51 : x
  2. Step 2: Convert to fraction form
    405,728.51/559,895.24 = 224,450.51/x
  3. Step 3: Cross multiply
    405,728.51x = 559,895.24 × 224,450.51
  4. Step 4: Simplify right side
    405,728.51x = 125,668,771,042.32
  5. Step 5: Solve for x
    x = 125,668,771,042.32/405,728.51
  6. Step 6: Final answer
    x = 309,736.11

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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.