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Finding the Fourth Proportional to 512,652.28, 769,051.95 and 157,696.24

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Solution

The fourth proportional to 512,652.28, 769,051.95 and 157,696.24 is: 236,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,652.28 : 769,051.95 = 157,696.24 : x
  2. Step 2: Convert to fraction form
    512,652.28/769,051.95 = 157,696.24/x
  3. Step 3: Cross multiply
    512,652.28x = 769,051.95 × 157,696.24
  4. Step 4: Simplify right side
    512,652.28x = 121,276,600,879.67
  5. Step 5: Solve for x
    x = 121,276,600,879.67/512,652.28
  6. Step 6: Final answer
    x = 236,566.98

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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.