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Finding the Fourth Proportional to 381,612.70, 572,419.05 and 97,302.70

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Solution

The fourth proportional to 381,612.70, 572,419.05 and 97,302.70 is: 145,954.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,612.70 : 572,419.05 = 97,302.70 : x
  2. Step 2: Convert to fraction form
    381,612.70/572,419.05 = 97,302.70/x
  3. Step 3: Cross multiply
    381,612.70x = 572,419.05 × 97,302.70
  4. Step 4: Simplify right side
    381,612.70x = 55,697,919,096.44
  5. Step 5: Solve for x
    x = 55,697,919,096.44/381,612.70
  6. Step 6: Final answer
    x = 145,954.05

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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.