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Finding the Fourth Proportional to 307,872.40, 461,808.60 and 201,584.20

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Solution

The fourth proportional to 307,872.40, 461,808.60 and 201,584.20 is: 302,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,872.40 : 461,808.60 = 201,584.20 : x
  2. Step 2: Convert to fraction form
    307,872.40/461,808.60 = 201,584.20/x
  3. Step 3: Cross multiply
    307,872.40x = 461,808.60 × 201,584.20
  4. Step 4: Simplify right side
    307,872.40x = 93,093,317,184.12
  5. Step 5: Solve for x
    x = 93,093,317,184.12/307,872.40
  6. Step 6: Final answer
    x = 302,376.30

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1.5x scale

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.