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Finding the Fourth Proportional to 298,990.09, 412,597.29 and 163,026.65

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Solution

The fourth proportional to 298,990.09, 412,597.29 and 163,026.65 is: 224,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,990.09 : 412,597.29 = 163,026.65 : x
  2. Step 2: Convert to fraction form
    298,990.09/412,597.29 = 163,026.65/x
  3. Step 3: Cross multiply
    298,990.09x = 412,597.29 × 163,026.65
  4. Step 4: Simplify right side
    298,990.09x = 67,264,354,470.19
  5. Step 5: Solve for x
    x = 67,264,354,470.19/298,990.09
  6. Step 6: Final answer
    x = 224,971.86

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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.