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Finding the Fourth Proportional to 405,701.42, 559,824.86 and 224,384.54

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Solution

The fourth proportional to 405,701.42, 559,824.86 and 224,384.54 is: 309,626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,701.42 : 559,824.86 = 224,384.54 : x
  2. Step 2: Convert to fraction form
    405,701.42/559,824.86 = 224,384.54/x
  3. Step 3: Cross multiply
    405,701.42x = 559,824.86 × 224,384.54
  4. Step 4: Simplify right side
    405,701.42x = 125,616,043,691.66
  5. Step 5: Solve for x
    x = 125,616,043,691.66/405,701.42
  6. Step 6: Final answer
    x = 309,626.83

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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.