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Finding the Fourth Proportional to 407,832.75, 563,013.69 and 254,955.90

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Solution

The fourth proportional to 407,832.75, 563,013.69 and 254,955.90 is: 351,966.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,832.75 : 563,013.69 = 254,955.90 : x
  2. Step 2: Convert to fraction form
    407,832.75/563,013.69 = 254,955.90/x
  3. Step 3: Cross multiply
    407,832.75x = 563,013.69 × 254,955.90
  4. Step 4: Simplify right side
    407,832.75x = 143,543,662,046.27
  5. Step 5: Solve for x
    x = 143,543,662,046.27/407,832.75
  6. Step 6: Final answer
    x = 351,966.98

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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.