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Finding the Fourth Proportional to 284,978.80, 427,468.20 and 271,856.80

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Solution

The fourth proportional to 284,978.80, 427,468.20 and 271,856.80 is: 407,785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,978.80 : 427,468.20 = 271,856.80 : x
  2. Step 2: Convert to fraction form
    284,978.80/427,468.20 = 271,856.80/x
  3. Step 3: Cross multiply
    284,978.80x = 427,468.20 × 271,856.80
  4. Step 4: Simplify right side
    284,978.80x = 116,210,136,953.76
  5. Step 5: Solve for x
    x = 116,210,136,953.76/284,978.80
  6. Step 6: Final answer
    x = 407,785.20

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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.