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Finding the Fourth Proportional to 295,653.06, 408,001.09 and 159,686.96

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Solution

The fourth proportional to 295,653.06, 408,001.09 and 159,686.96 is: 220,367.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,653.06 : 408,001.09 = 159,686.96 : x
  2. Step 2: Convert to fraction form
    295,653.06/408,001.09 = 159,686.96/x
  3. Step 3: Cross multiply
    295,653.06x = 408,001.09 × 159,686.96
  4. Step 4: Simplify right side
    295,653.06x = 65,152,453,738.79
  5. Step 5: Solve for x
    x = 65,152,453,738.79/295,653.06
  6. Step 6: Final answer
    x = 220,367.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.