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Finding the Fourth Proportional to 415,218.92, 573,002.09 and 224,232.31

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Solution

The fourth proportional to 415,218.92, 573,002.09 and 224,232.31 is: 309,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,218.92 : 573,002.09 = 224,232.31 : x
  2. Step 2: Convert to fraction form
    415,218.92/573,002.09 = 224,232.31/x
  3. Step 3: Cross multiply
    415,218.92x = 573,002.09 × 224,232.31
  4. Step 4: Simplify right side
    415,218.92x = 128,485,583,201.94
  5. Step 5: Solve for x
    x = 128,485,583,201.94/415,218.92
  6. Step 6: Final answer
    x = 309,440.58

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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.