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Finding the Fourth Proportional to 405,526.38, 559,620.56 and 224,234.33

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Solution

The fourth proportional to 405,526.38, 559,620.56 and 224,234.33 is: 309,440.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,526.38 : 559,620.56 = 224,234.33 : x
  2. Step 2: Convert to fraction form
    405,526.38/559,620.56 = 224,234.33/x
  3. Step 3: Cross multiply
    405,526.38x = 559,620.56 × 224,234.33
  4. Step 4: Simplify right side
    405,526.38x = 125,486,137,406.55
  5. Step 5: Solve for x
    x = 125,486,137,406.55/405,526.38
  6. Step 6: Final answer
    x = 309,440.13

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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.