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Finding the Fourth Proportional to 415,433.00, 573,297.95 and 224,446.82

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Solution

The fourth proportional to 415,433.00, 573,297.95 and 224,446.82 is: 309,736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,433.00 : 573,297.95 = 224,446.82 : x
  2. Step 2: Convert to fraction form
    415,433.00/573,297.95 = 224,446.82/x
  3. Step 3: Cross multiply
    415,433.00x = 573,297.95 × 224,446.82
  4. Step 4: Simplify right side
    415,433.00x = 128,674,899,484.65
  5. Step 5: Solve for x
    x = 128,674,899,484.65/415,433.00
  6. Step 6: Final answer
    x = 309,736.83

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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.