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Finding the Fourth Proportional to 271,574.60, 407,459.10 and 113,851.40

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Solution

The fourth proportional to 271,574.60, 407,459.10 and 113,851.40 is: 170,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,574.60 : 407,459.10 = 113,851.40 : x
  2. Step 2: Convert to fraction form
    271,574.60/407,459.10 = 113,851.40/x
  3. Step 3: Cross multiply
    271,574.60x = 407,459.10 × 113,851.40
  4. Step 4: Simplify right side
    271,574.60x = 46,389,788,977.74
  5. Step 5: Solve for x
    x = 46,389,788,977.74/271,574.60
  6. Step 6: Final answer
    x = 170,817.85

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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.