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Finding the Fourth Proportional to 456,701.80, 684,015.90 and 234,826.60

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Solution

The fourth proportional to 456,701.80, 684,015.90 and 234,826.60 is: 351,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,701.80 : 684,015.90 = 234,826.60 : x
  2. Step 2: Convert to fraction form
    456,701.80/684,015.90 = 234,826.60/x
  3. Step 3: Cross multiply
    456,701.80x = 684,015.90 × 234,826.60
  4. Step 4: Simplify right side
    456,701.80x = 160,625,128,142.94
  5. Step 5: Solve for x
    x = 160,625,128,142.94/456,701.80
  6. Step 6: Final answer
    x = 351,706.80

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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.