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Finding the Fourth Proportional to 271,873.40, 407,810.10 and 205,518.20

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Solution

The fourth proportional to 271,873.40, 407,810.10 and 205,518.20 is: 308,277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,873.40 : 407,810.10 = 205,518.20 : x
  2. Step 2: Convert to fraction form
    271,873.40/407,810.10 = 205,518.20/x
  3. Step 3: Cross multiply
    271,873.40x = 407,810.10 × 205,518.20
  4. Step 4: Simplify right side
    271,873.40x = 83,812,397,693.82
  5. Step 5: Solve for x
    x = 83,812,397,693.82/271,873.40
  6. Step 6: Final answer
    x = 308,277.30

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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.