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Finding the Fourth Proportional to 347,897, 480,097.86 and 197,023.16

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Solution

The fourth proportional to 347,897, 480,097.86 and 197,023.16 is: 271,891.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,897 : 480,097.86 = 197,023.16 : x
  2. Step 2: Convert to fraction form
    347,897/480,097.86 = 197,023.16/x
  3. Step 3: Cross multiply
    347,897x = 480,097.86 × 197,023.16
  4. Step 4: Simplify right side
    347,897x = 94,590,397,486.44
  5. Step 5: Solve for x
    x = 94,590,397,486.44/347,897
  6. Step 6: Final answer
    x = 271,891.96

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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.