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Finding the Fourth Proportional to 256,565.17, 384,910.52 and 180,811.51

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Solution

The fourth proportional to 256,565.17, 384,910.52 and 180,811.51 is: 271,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,565.17 : 384,910.52 = 180,811.51 : x
  2. Step 2: Convert to fraction form
    256,565.17/384,910.52 = 180,811.51/x
  3. Step 3: Cross multiply
    256,565.17x = 384,910.52 × 180,811.51
  4. Step 4: Simplify right side
    256,565.17x = 69,596,252,336.09
  5. Step 5: Solve for x
    x = 69,596,252,336.09/256,565.17
  6. Step 6: Final answer
    x = 271,261.50

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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.