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Finding the Fourth Proportional to 298,076.34, 411,348.32 and 162,113.38

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Solution

The fourth proportional to 298,076.34, 411,348.32 and 162,113.38 is: 223,718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,076.34 : 411,348.32 = 162,113.38 : x
  2. Step 2: Convert to fraction form
    298,076.34/411,348.32 = 162,113.38/x
  3. Step 3: Cross multiply
    298,076.34x = 411,348.32 × 162,113.38
  4. Step 4: Simplify right side
    298,076.34x = 66,685,066,512.52
  5. Step 5: Solve for x
    x = 66,685,066,512.52/298,076.34
  6. Step 6: Final answer
    x = 223,718.08

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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.