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Finding the Fourth Proportional to 456,418.53, 684,619.29 and 136,570.59

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Solution

The fourth proportional to 456,418.53, 684,619.29 and 136,570.59 is: 204,853.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,418.53 : 684,619.29 = 136,570.59 : x
  2. Step 2: Convert to fraction form
    456,418.53/684,619.29 = 136,570.59/x
  3. Step 3: Cross multiply
    456,418.53x = 684,619.29 × 136,570.59
  4. Step 4: Simplify right side
    456,418.53x = 93,498,860,360.68
  5. Step 5: Solve for x
    x = 93,498,860,360.68/456,418.53
  6. Step 6: Final answer
    x = 204,853.34

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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.