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Finding the Fourth Proportional to 382,096, 572,356.25 and 223,844.68

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Solution

The fourth proportional to 382,096, 572,356.25 and 223,844.68 is: 335,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,096 : 572,356.25 = 223,844.68 : x
  2. Step 2: Convert to fraction form
    382,096/572,356.25 = 223,844.68/x
  3. Step 3: Cross multiply
    382,096x = 572,356.25 × 223,844.68
  4. Step 4: Simplify right side
    382,096x = 128,118,901,627.25
  5. Step 5: Solve for x
    x = 128,118,901,627.25/382,096
  6. Step 6: Final answer
    x = 335,305.53

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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.