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Finding the Fourth Proportional to 307,218.30, 460,827.45 and 200,930.10

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Solution

The fourth proportional to 307,218.30, 460,827.45 and 200,930.10 is: 301,395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,218.30 : 460,827.45 = 200,930.10 : x
  2. Step 2: Convert to fraction form
    307,218.30/460,827.45 = 200,930.10/x
  3. Step 3: Cross multiply
    307,218.30x = 460,827.45 × 200,930.10
  4. Step 4: Simplify right side
    307,218.30x = 92,594,105,611.25
  5. Step 5: Solve for x
    x = 92,594,105,611.25/307,218.30
  6. Step 6: Final answer
    x = 301,395.15

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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.