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Finding the Fourth Proportional to 298,336.51, 411,708.95 and 162,375.85

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Solution

The fourth proportional to 298,336.51, 411,708.95 and 162,375.85 is: 224,081.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,336.51 : 411,708.95 = 162,375.85 : x
  2. Step 2: Convert to fraction form
    298,336.51/411,708.95 = 162,375.85/x
  3. Step 3: Cross multiply
    298,336.51x = 411,708.95 × 162,375.85
  4. Step 4: Simplify right side
    298,336.51x = 66,851,590,708.86
  5. Step 5: Solve for x
    x = 66,851,590,708.86/298,336.51
  6. Step 6: Final answer
    x = 224,081.16

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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.