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Finding the Fourth Proportional to 546,859.05, 820,288.58 and 413,998.80

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Solution

The fourth proportional to 546,859.05, 820,288.58 and 413,998.80 is: 620,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,859.05 : 820,288.58 = 413,998.80 : x
  2. Step 2: Convert to fraction form
    546,859.05/820,288.58 = 413,998.80/x
  3. Step 3: Cross multiply
    546,859.05x = 820,288.58 × 413,998.80
  4. Step 4: Simplify right side
    546,859.05x = 339,598,485,703.71
  5. Step 5: Solve for x
    x = 339,598,485,703.71/546,859.05
  6. Step 6: Final answer
    x = 620,998.20

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Similar ratio
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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.