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Finding the Fourth Proportional to 417,812.20, 626,821.98 and 195,937

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Solution

The fourth proportional to 417,812.20, 626,821.98 and 195,937 is: 293,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,812.20 : 626,821.98 = 195,937 : x
  2. Step 2: Convert to fraction form
    417,812.20/626,821.98 = 195,937/x
  3. Step 3: Cross multiply
    417,812.20x = 626,821.98 × 195,937
  4. Step 4: Simplify right side
    417,812.20x = 122,817,618,295.26
  5. Step 5: Solve for x
    x = 122,817,618,295.26/417,812.20
  6. Step 6: Final answer
    x = 293,954.12

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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.