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Finding the Fourth Proportional to 414,185.51, 572,594.58 and 410,396.54

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Solution

The fourth proportional to 414,185.51, 572,594.58 and 410,396.54 is: 567,356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,185.51 : 572,594.58 = 410,396.54 : x
  2. Step 2: Convert to fraction form
    414,185.51/572,594.58 = 410,396.54/x
  3. Step 3: Cross multiply
    414,185.51x = 572,594.58 × 410,396.54
  4. Step 4: Simplify right side
    414,185.51x = 234,990,831,591.78
  5. Step 5: Solve for x
    x = 234,990,831,591.78/414,185.51
  6. Step 6: Final answer
    x = 567,356.48

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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.