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Finding the Fourth Proportional to 585,220.66, 878,007.93 and 414,772

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Solution

The fourth proportional to 585,220.66, 878,007.93 and 414,772 is: 622,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,220.66 : 878,007.93 = 414,772 : x
  2. Step 2: Convert to fraction form
    585,220.66/878,007.93 = 414,772/x
  3. Step 3: Cross multiply
    585,220.66x = 878,007.93 × 414,772
  4. Step 4: Simplify right side
    585,220.66x = 364,173,105,141.96
  5. Step 5: Solve for x
    x = 364,173,105,141.96/585,220.66
  6. Step 6: Final answer
    x = 622,283.41

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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.