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Finding the Fourth Proportional to 271,494.66, 405,037.50 and 256,798.02

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Solution

The fourth proportional to 271,494.66, 405,037.50 and 256,798.02 is: 383,111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,494.66 : 405,037.50 = 256,798.02 : x
  2. Step 2: Convert to fraction form
    271,494.66/405,037.50 = 256,798.02/x
  3. Step 3: Cross multiply
    271,494.66x = 405,037.50 × 256,798.02
  4. Step 4: Simplify right side
    271,494.66x = 104,012,828,025.75
  5. Step 5: Solve for x
    x = 104,012,828,025.75/271,494.66
  6. Step 6: Final answer
    x = 383,111.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.