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Finding the Fourth Proportional to 682,055.84, 941,243.28 and 410,132

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Solution

The fourth proportional to 682,055.84, 941,243.28 and 410,132 is: 565,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,055.84 : 941,243.28 = 410,132 : x
  2. Step 2: Convert to fraction form
    682,055.84/941,243.28 = 410,132/x
  3. Step 3: Cross multiply
    682,055.84x = 941,243.28 × 410,132
  4. Step 4: Simplify right side
    682,055.84x = 386,033,988,912.96
  5. Step 5: Solve for x
    x = 386,033,988,912.96/682,055.84
  6. Step 6: Final answer
    x = 565,985.90

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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.