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Finding the Fourth Proportional to 511,879.92, 767,967.45 and 156,946.29

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Solution

The fourth proportional to 511,879.92, 767,967.45 and 156,946.29 is: 235,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,879.92 : 767,967.45 = 156,946.29 : x
  2. Step 2: Convert to fraction form
    511,879.92/767,967.45 = 156,946.29/x
  3. Step 3: Cross multiply
    511,879.92x = 767,967.45 × 156,946.29
  4. Step 4: Simplify right side
    511,879.92x = 120,529,642,118.26
  5. Step 5: Solve for x
    x = 120,529,642,118.26/511,879.92
  6. Step 6: Final answer
    x = 235,464.68

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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.