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Finding the Fourth Proportional to 405,500, 559,567.41 and 224,201.04

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Solution

The fourth proportional to 405,500, 559,567.41 and 224,201.04 is: 309,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,500 : 559,567.41 = 224,201.04 : x
  2. Step 2: Convert to fraction form
    405,500/559,567.41 = 224,201.04/x
  3. Step 3: Cross multiply
    405,500x = 559,567.41 × 224,201.04
  4. Step 4: Simplify right side
    405,500x = 125,455,595,272.11
  5. Step 5: Solve for x
    x = 125,455,595,272.11/405,500
  6. Step 6: Final answer
    x = 309,384.95

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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.