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Finding the Fourth Proportional to 384,680.34, 577,086.93 and 171,523.98

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Solution

The fourth proportional to 384,680.34, 577,086.93 and 171,523.98 is: 257,315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,680.34 : 577,086.93 = 171,523.98 : x
  2. Step 2: Convert to fraction form
    384,680.34/577,086.93 = 171,523.98/x
  3. Step 3: Cross multiply
    384,680.34x = 577,086.93 × 171,523.98
  4. Step 4: Simplify right side
    384,680.34x = 98,984,247,039.58
  5. Step 5: Solve for x
    x = 98,984,247,039.58/384,680.34
  6. Step 6: Final answer
    x = 257,315.59

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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.