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Finding the Fourth Proportional to 347,781.88, 521,319.84 and 197,712.01

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Solution

The fourth proportional to 347,781.88, 521,319.84 and 197,712.01 is: 296,367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,781.88 : 521,319.84 = 197,712.01 : x
  2. Step 2: Convert to fraction form
    347,781.88/521,319.84 = 197,712.01/x
  3. Step 3: Cross multiply
    347,781.88x = 521,319.84 × 197,712.01
  4. Step 4: Simplify right side
    347,781.88x = 103,071,193,419.28
  5. Step 5: Solve for x
    x = 103,071,193,419.28/347,781.88
  6. Step 6: Final answer
    x = 296,367.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.