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Finding the Fourth Proportional to 456,708.52, 684,811.26 and 141,077.80

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Solution

The fourth proportional to 456,708.52, 684,811.26 and 141,077.80 is: 211,539.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,708.52 : 684,811.26 = 141,077.80 : x
  2. Step 2: Convert to fraction form
    456,708.52/684,811.26 = 141,077.80/x
  3. Step 3: Cross multiply
    456,708.52x = 684,811.26 × 141,077.80
  4. Step 4: Simplify right side
    456,708.52x = 96,611,665,976.03
  5. Step 5: Solve for x
    x = 96,611,665,976.03/456,708.52
  6. Step 6: Final answer
    x = 211,539.01

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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.