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Finding the Fourth Proportional to 456,288.40, 684,367.80 and 156,782.80

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Solution

The fourth proportional to 456,288.40, 684,367.80 and 156,782.80 is: 235,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,288.40 : 684,367.80 = 156,782.80 : x
  2. Step 2: Convert to fraction form
    456,288.40/684,367.80 = 156,782.80/x
  3. Step 3: Cross multiply
    456,288.40x = 684,367.80 × 156,782.80
  4. Step 4: Simplify right side
    456,288.40x = 107,297,099,913.84
  5. Step 5: Solve for x
    x = 107,297,099,913.84/456,288.40
  6. Step 6: Final answer
    x = 235,151.93

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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.