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Finding the Fourth Proportional to 694,480, 1,041,824 and 251,351.68

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Solution

The fourth proportional to 694,480, 1,041,824 and 251,351.68 is: 377,065.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,480 : 1,041,824 = 251,351.68 : x
  2. Step 2: Convert to fraction form
    694,480/1,041,824 = 251,351.68/x
  3. Step 3: Cross multiply
    694,480x = 1,041,824 × 251,351.68
  4. Step 4: Simplify right side
    694,480x = 261,864,212,664.32
  5. Step 5: Solve for x
    x = 261,864,212,664.32/694,480
  6. Step 6: Final answer
    x = 377,065.16

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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.