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Finding the Fourth Proportional to 517,698.64, 776,774.08 and 180,981.04

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Solution

The fourth proportional to 517,698.64, 776,774.08 and 180,981.04 is: 271,550.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,698.64 : 776,774.08 = 180,981.04 : x
  2. Step 2: Convert to fraction form
    517,698.64/776,774.08 = 180,981.04/x
  3. Step 3: Cross multiply
    517,698.64x = 776,774.08 × 180,981.04
  4. Step 4: Simplify right side
    517,698.64x = 140,581,380,843.44
  5. Step 5: Solve for x
    x = 140,581,380,843.44/517,698.64
  6. Step 6: Final answer
    x = 271,550.61

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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.