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Finding the Fourth Proportional to 506,224.84, 759,049.80 and 206,354.20

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Solution

The fourth proportional to 506,224.84, 759,049.80 and 206,354.20 is: 309,414.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,224.84 : 759,049.80 = 206,354.20 : x
  2. Step 2: Convert to fraction form
    506,224.84/759,049.80 = 206,354.20/x
  3. Step 3: Cross multiply
    506,224.84x = 759,049.80 × 206,354.20
  4. Step 4: Simplify right side
    506,224.84x = 156,633,114,239.16
  5. Step 5: Solve for x
    x = 156,633,114,239.16/506,224.84
  6. Step 6: Final answer
    x = 309,414.12

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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.