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Finding the Fourth Proportional to 416,321, 574,382.01 and 271,060.46

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Solution

The fourth proportional to 416,321, 574,382.01 and 271,060.46 is: 373,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,321 : 574,382.01 = 271,060.46 : x
  2. Step 2: Convert to fraction form
    416,321/574,382.01 = 271,060.46/x
  3. Step 3: Cross multiply
    416,321x = 574,382.01 × 271,060.46
  4. Step 4: Simplify right side
    416,321x = 155,692,251,846.33
  5. Step 5: Solve for x
    x = 155,692,251,846.33/416,321
  6. Step 6: Final answer
    x = 373,971.65

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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.