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Finding the Fourth Proportional to 415,771.87, 573,766.58 and 224,786.62

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Solution

The fourth proportional to 415,771.87, 573,766.58 and 224,786.62 is: 310,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,771.87 : 573,766.58 = 224,786.62 : x
  2. Step 2: Convert to fraction form
    415,771.87/573,766.58 = 224,786.62/x
  3. Step 3: Cross multiply
    415,771.87x = 573,766.58 × 224,786.62
  4. Step 4: Simplify right side
    415,771.87x = 128,975,050,187.16
  5. Step 5: Solve for x
    x = 128,975,050,187.16/415,771.87
  6. Step 6: Final answer
    x = 310,206.29

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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.