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Finding the Fourth Proportional to 456,409.44, 684,147.60 and 156,800.16

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Solution

The fourth proportional to 456,409.44, 684,147.60 and 156,800.16 is: 235,039.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,409.44 : 684,147.60 = 156,800.16 : x
  2. Step 2: Convert to fraction form
    456,409.44/684,147.60 = 156,800.16/x
  3. Step 3: Cross multiply
    456,409.44x = 684,147.60 × 156,800.16
  4. Step 4: Simplify right side
    456,409.44x = 107,274,453,143.62
  5. Step 5: Solve for x
    x = 107,274,453,143.62/456,409.44
  6. Step 6: Final answer
    x = 235,039.95

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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.