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Finding the Fourth Proportional to 307,220.30, 460,830.45 and 200,932.10

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Solution

The fourth proportional to 307,220.30, 460,830.45 and 200,932.10 is: 301,398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,220.30 : 460,830.45 = 200,932.10 : x
  2. Step 2: Convert to fraction form
    307,220.30/460,830.45 = 200,932.10/x
  3. Step 3: Cross multiply
    307,220.30x = 460,830.45 × 200,932.10
  4. Step 4: Simplify right side
    307,220.30x = 92,595,630,062.45
  5. Step 5: Solve for x
    x = 92,595,630,062.45/307,220.30
  6. Step 6: Final answer
    x = 301,398.15

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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.