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Finding the Fourth Proportional to 405,525.83, 559,617.46 and 224,245.40

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Solution

The fourth proportional to 405,525.83, 559,617.46 and 224,245.40 is: 309,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,525.83 : 559,617.46 = 224,245.40 : x
  2. Step 2: Convert to fraction form
    405,525.83/559,617.46 = 224,245.40/x
  3. Step 3: Cross multiply
    405,525.83x = 559,617.46 × 224,245.40
  4. Step 4: Simplify right side
    405,525.83x = 125,491,637,805.98
  5. Step 5: Solve for x
    x = 125,491,637,805.98/405,525.83
  6. Step 6: Final answer
    x = 309,454.12

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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.