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Finding the Fourth Proportional to 405,835.79, 560,069.91 and 224,544.78

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Solution

The fourth proportional to 405,835.79, 560,069.91 and 224,544.78 is: 309,880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,835.79 : 560,069.91 = 224,544.78 : x
  2. Step 2: Convert to fraction form
    405,835.79/560,069.91 = 224,544.78/x
  3. Step 3: Cross multiply
    405,835.79x = 560,069.91 × 224,544.78
  4. Step 4: Simplify right side
    405,835.79x = 125,760,774,725.57
  5. Step 5: Solve for x
    x = 125,760,774,725.57/405,835.79
  6. Step 6: Final answer
    x = 309,880.94

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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.