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Finding the Fourth Proportional to 271,411.40, 407,117.10 and 204,051.80

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Solution

The fourth proportional to 271,411.40, 407,117.10 and 204,051.80 is: 306,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,411.40 : 407,117.10 = 204,051.80 : x
  2. Step 2: Convert to fraction form
    271,411.40/407,117.10 = 204,051.80/x
  3. Step 3: Cross multiply
    271,411.40x = 407,117.10 × 204,051.80
  4. Step 4: Simplify right side
    271,411.40x = 83,072,977,065.78
  5. Step 5: Solve for x
    x = 83,072,977,065.78/271,411.40
  6. Step 6: Final answer
    x = 306,077.70

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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.