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Finding the Fourth Proportional to 271,602.40, 407,710.80 and 160,856.80

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Solution

The fourth proportional to 271,602.40, 407,710.80 and 160,856.80 is: 241,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,602.40 : 407,710.80 = 160,856.80 : x
  2. Step 2: Convert to fraction form
    271,602.40/407,710.80 = 160,856.80/x
  3. Step 3: Cross multiply
    271,602.40x = 407,710.80 × 160,856.80
  4. Step 4: Simplify right side
    271,602.40x = 65,583,054,613.44
  5. Step 5: Solve for x
    x = 65,583,054,613.44/271,602.40
  6. Step 6: Final answer
    x = 241,467.14

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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.