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Finding the Fourth Proportional to 405,515.43, 559,588.59 and 224,216.46

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Solution

The fourth proportional to 405,515.43, 559,588.59 and 224,216.46 is: 309,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,515.43 : 559,588.59 = 224,216.46 : x
  2. Step 2: Convert to fraction form
    405,515.43/559,588.59 = 224,216.46/x
  3. Step 3: Cross multiply
    405,515.43x = 559,588.59 × 224,216.46
  4. Step 4: Simplify right side
    405,515.43x = 125,468,972,706.19
  5. Step 5: Solve for x
    x = 125,468,972,706.19/405,515.43
  6. Step 6: Final answer
    x = 309,406.16

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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.