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Finding the Fourth Proportional to 415,336.78, 573,165.01 and 224,350.22

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Solution

The fourth proportional to 415,336.78, 573,165.01 and 224,350.22 is: 309,603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,336.78 : 573,165.01 = 224,350.22 : x
  2. Step 2: Convert to fraction form
    415,336.78/573,165.01 = 224,350.22/x
  3. Step 3: Cross multiply
    415,336.78x = 573,165.01 × 224,350.22
  4. Step 4: Simplify right side
    415,336.78x = 128,589,697,803.15
  5. Step 5: Solve for x
    x = 128,589,697,803.15/415,336.78
  6. Step 6: Final answer
    x = 309,603.44

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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.