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Finding the Fourth Proportional to 415,231.42, 573,019.37 and 224,244.83

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Solution

The fourth proportional to 415,231.42, 573,019.37 and 224,244.83 is: 309,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,231.42 : 573,019.37 = 224,244.83 : x
  2. Step 2: Convert to fraction form
    415,231.42/573,019.37 = 224,244.83/x
  3. Step 3: Cross multiply
    415,231.42x = 573,019.37 × 224,244.83
  4. Step 4: Simplify right side
    415,231.42x = 128,496,631,212.36
  5. Step 5: Solve for x
    x = 128,496,631,212.36/415,231.42
  6. Step 6: Final answer
    x = 309,457.87

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1.5x scale

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.