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Finding the Fourth Proportional to 561,393.26, 842,088.72 and 224,512.64

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Solution

The fourth proportional to 561,393.26, 842,088.72 and 224,512.64 is: 336,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,393.26 : 842,088.72 = 224,512.64 : x
  2. Step 2: Convert to fraction form
    561,393.26/842,088.72 = 224,512.64/x
  3. Step 3: Cross multiply
    561,393.26x = 842,088.72 × 224,512.64
  4. Step 4: Simplify right side
    561,393.26x = 189,059,561,641.42
  5. Step 5: Solve for x
    x = 189,059,561,641.42/561,393.26
  6. Step 6: Final answer
    x = 336,768.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.