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Finding the Fourth Proportional to 415,219.43, 573,002.81 and 224,232.81

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Solution

The fourth proportional to 415,219.43, 573,002.81 and 224,232.81 is: 309,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,219.43 : 573,002.81 = 224,232.81 : x
  2. Step 2: Convert to fraction form
    415,219.43/573,002.81 = 224,232.81/x
  3. Step 3: Cross multiply
    415,219.43x = 573,002.81 × 224,232.81
  4. Step 4: Simplify right side
    415,219.43x = 128,486,029,103.03
  5. Step 5: Solve for x
    x = 128,486,029,103.03/415,219.43
  6. Step 6: Final answer
    x = 309,441.28

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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.