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Finding the Fourth Proportional to 397,186.84, 548,056.74 and 235,982.24

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Solution

The fourth proportional to 397,186.84, 548,056.74 and 235,982.24 is: 325,619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,186.84 : 548,056.74 = 235,982.24 : x
  2. Step 2: Convert to fraction form
    397,186.84/548,056.74 = 235,982.24/x
  3. Step 3: Cross multiply
    397,186.84x = 548,056.74 × 235,982.24
  4. Step 4: Simplify right side
    397,186.84x = 129,331,657,152.30
  5. Step 5: Solve for x
    x = 129,331,657,152.30/397,186.84
  6. Step 6: Final answer
    x = 325,619.19

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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.