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Finding the Fourth Proportional to 381,720.20, 572,580.30 and 97,410.20

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Solution

The fourth proportional to 381,720.20, 572,580.30 and 97,410.20 is: 146,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,720.20 : 572,580.30 = 97,410.20 : x
  2. Step 2: Convert to fraction form
    381,720.20/572,580.30 = 97,410.20/x
  3. Step 3: Cross multiply
    381,720.20x = 572,580.30 × 97,410.20
  4. Step 4: Simplify right side
    381,720.20x = 55,775,161,539.06
  5. Step 5: Solve for x
    x = 55,775,161,539.06/381,720.20
  6. Step 6: Final answer
    x = 146,115.30

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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.