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Finding the Fourth Proportional to 414,187.01, 572,596.65 and 410,398.04

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Solution

The fourth proportional to 414,187.01, 572,596.65 and 410,398.04 is: 567,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,187.01 : 572,596.65 = 410,398.04 : x
  2. Step 2: Convert to fraction form
    414,187.01/572,596.65 = 410,398.04/x
  3. Step 3: Cross multiply
    414,187.01x = 572,596.65 × 410,398.04
  4. Step 4: Simplify right side
    414,187.01x = 234,992,540,007.58
  5. Step 5: Solve for x
    x = 234,992,540,007.58/414,187.01
  6. Step 6: Final answer
    x = 567,358.55

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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.