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Finding the Fourth Proportional to 381,616.30, 572,440.01 and 97,314.22

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Solution

The fourth proportional to 381,616.30, 572,440.01 and 97,314.22 is: 145,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,616.30 : 572,440.01 = 97,314.22 : x
  2. Step 2: Convert to fraction form
    381,616.30/572,440.01 = 97,314.22/x
  3. Step 3: Cross multiply
    381,616.30x = 572,440.01 × 97,314.22
  4. Step 4: Simplify right side
    381,616.30x = 55,706,553,069.94
  5. Step 5: Solve for x
    x = 55,706,553,069.94/381,616.30
  6. Step 6: Final answer
    x = 145,975.30

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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.