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Finding the Fourth Proportional to 509,062.20, 763,091.10 and 284,530.20

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Solution

The fourth proportional to 509,062.20, 763,091.10 and 284,530.20 is: 426,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,062.20 : 763,091.10 = 284,530.20 : x
  2. Step 2: Convert to fraction form
    509,062.20/763,091.10 = 284,530.20/x
  3. Step 3: Cross multiply
    509,062.20x = 763,091.10 × 284,530.20
  4. Step 4: Simplify right side
    509,062.20x = 217,122,463,301.22
  5. Step 5: Solve for x
    x = 217,122,463,301.22/509,062.20
  6. Step 6: Final answer
    x = 426,514.61

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Double scale
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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.