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Finding the Fourth Proportional to 405,756.46, 559,960.38 and 224,465.26

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Solution

The fourth proportional to 405,756.46, 559,960.38 and 224,465.26 is: 309,771.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,756.46 : 559,960.38 = 224,465.26 : x
  2. Step 2: Convert to fraction form
    405,756.46/559,960.38 = 224,465.26/x
  3. Step 3: Cross multiply
    405,756.46x = 559,960.38 × 224,465.26
  4. Step 4: Simplify right side
    405,756.46x = 125,691,652,286.40
  5. Step 5: Solve for x
    x = 125,691,652,286.40/405,756.46
  6. Step 6: Final answer
    x = 309,771.17

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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.