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Finding the Fourth Proportional to 405,753.95, 559,956.96 and 224,462.77

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Solution

The fourth proportional to 405,753.95, 559,956.96 and 224,462.77 is: 309,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,753.95 : 559,956.96 = 224,462.77 : x
  2. Step 2: Convert to fraction form
    405,753.95/559,956.96 = 224,462.77/x
  3. Step 3: Cross multiply
    405,753.95x = 559,956.96 × 224,462.77
  4. Step 4: Simplify right side
    405,753.95x = 125,689,488,922.49
  5. Step 5: Solve for x
    x = 125,689,488,922.49/405,753.95
  6. Step 6: Final answer
    x = 309,767.75

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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.