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Finding the Fourth Proportional to 311,560.52, 429,973.74 and 180,764.96

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Solution

The fourth proportional to 311,560.52, 429,973.74 and 180,764.96 is: 249,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,560.52 : 429,973.74 = 180,764.96 : x
  2. Step 2: Convert to fraction form
    311,560.52/429,973.74 = 180,764.96/x
  3. Step 3: Cross multiply
    311,560.52x = 429,973.74 × 180,764.96
  4. Step 4: Simplify right side
    311,560.52x = 77,724,185,912.15
  5. Step 5: Solve for x
    x = 77,724,185,912.15/311,560.52
  6. Step 6: Final answer
    x = 249,467.38

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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.