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Finding the Fourth Proportional to 405,728.01, 559,894.55 and 224,450.01

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Solution

The fourth proportional to 405,728.01, 559,894.55 and 224,450.01 is: 309,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,728.01 : 559,894.55 = 224,450.01 : x
  2. Step 2: Convert to fraction form
    405,728.01/559,894.55 = 224,450.01/x
  3. Step 3: Cross multiply
    405,728.01x = 559,894.55 × 224,450.01
  4. Step 4: Simplify right side
    405,728.01x = 125,668,336,224.20
  5. Step 5: Solve for x
    x = 125,668,336,224.20/405,728.01
  6. Step 6: Final answer
    x = 309,735.42

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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.