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Finding the Fourth Proportional to 415,212.65, 572,993.46 and 224,226.03

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Solution

The fourth proportional to 415,212.65, 572,993.46 and 224,226.03 is: 309,431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,212.65 : 572,993.46 = 224,226.03 : x
  2. Step 2: Convert to fraction form
    415,212.65/572,993.46 = 224,226.03/x
  3. Step 3: Cross multiply
    415,212.65x = 572,993.46 × 224,226.03
  4. Step 4: Simplify right side
    415,212.65x = 128,480,045,119.90
  5. Step 5: Solve for x
    x = 128,480,045,119.90/415,212.65
  6. Step 6: Final answer
    x = 309,431.91

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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.