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Finding the Fourth Proportional to 395,476.46, 545,754.80 and 214,184.25

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Solution

The fourth proportional to 395,476.46, 545,754.80 and 214,184.25 is: 295,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,476.46 : 545,754.80 = 214,184.25 : x
  2. Step 2: Convert to fraction form
    395,476.46/545,754.80 = 214,184.25/x
  3. Step 3: Cross multiply
    395,476.46x = 545,754.80 × 214,184.25
  4. Step 4: Simplify right side
    395,476.46x = 116,892,082,521.90
  5. Step 5: Solve for x
    x = 116,892,082,521.90/395,476.46
  6. Step 6: Final answer
    x = 295,572.79

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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.