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Finding the Fourth Proportional to 342,769.88, 473,019.14 and 197,522.30

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Solution

The fourth proportional to 342,769.88, 473,019.14 and 197,522.30 is: 272,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,769.88 : 473,019.14 = 197,522.30 : x
  2. Step 2: Convert to fraction form
    342,769.88/473,019.14 = 197,522.30/x
  3. Step 3: Cross multiply
    342,769.88x = 473,019.14 × 197,522.30
  4. Step 4: Simplify right side
    342,769.88x = 93,431,827,492.44
  5. Step 5: Solve for x
    x = 93,431,827,492.44/342,769.88
  6. Step 6: Final answer
    x = 272,578.88

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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.