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Finding the Fourth Proportional to 230,912.10, 346,368.15 and 213,197.40

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Solution

The fourth proportional to 230,912.10, 346,368.15 and 213,197.40 is: 319,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,912.10 : 346,368.15 = 213,197.40 : x
  2. Step 2: Convert to fraction form
    230,912.10/346,368.15 = 213,197.40/x
  3. Step 3: Cross multiply
    230,912.10x = 346,368.15 × 213,197.40
  4. Step 4: Simplify right side
    230,912.10x = 73,844,789,022.81
  5. Step 5: Solve for x
    x = 73,844,789,022.81/230,912.10
  6. Step 6: Final answer
    x = 319,796.10

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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.