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Finding the Fourth Proportional to 585,219.66, 878,006.43 and 414,771

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Solution

The fourth proportional to 585,219.66, 878,006.43 and 414,771 is: 622,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,219.66 : 878,006.43 = 414,771 : x
  2. Step 2: Convert to fraction form
    585,219.66/878,006.43 = 414,771/x
  3. Step 3: Cross multiply
    585,219.66x = 878,006.43 × 414,771
  4. Step 4: Simplify right side
    585,219.66x = 364,171,604,977.53
  5. Step 5: Solve for x
    x = 364,171,604,977.53/585,219.66
  6. Step 6: Final answer
    x = 622,281.91

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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.