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Finding the Fourth Proportional to 414,400.91, 572,892.23 and 410,611.94

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Solution

The fourth proportional to 414,400.91, 572,892.23 and 410,611.94 is: 567,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,400.91 : 572,892.23 = 410,611.94 : x
  2. Step 2: Convert to fraction form
    414,400.91/572,892.23 = 410,611.94/x
  3. Step 3: Cross multiply
    414,400.91x = 572,892.23 × 410,611.94
  4. Step 4: Simplify right side
    414,400.91x = 235,236,385,053.71
  5. Step 5: Solve for x
    x = 235,236,385,053.71/414,400.91
  6. Step 6: Final answer
    x = 567,654.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.