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Finding the Fourth Proportional to 415,219.64, 573,003.10 and 224,233.02

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Solution

The fourth proportional to 415,219.64, 573,003.10 and 224,233.02 is: 309,441.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,219.64 : 573,003.10 = 224,233.02 : x
  2. Step 2: Convert to fraction form
    415,219.64/573,003.10 = 224,233.02/x
  3. Step 3: Cross multiply
    415,219.64x = 573,003.10 × 224,233.02
  4. Step 4: Simplify right side
    415,219.64x = 128,486,215,582.36
  5. Step 5: Solve for x
    x = 128,486,215,582.36/415,219.64
  6. Step 6: Final answer
    x = 309,441.57

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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.