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Finding the Fourth Proportional to 307,575.10, 461,319.45 and 97,234.30

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Solution

The fourth proportional to 307,575.10, 461,319.45 and 97,234.30 is: 145,837.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,575.10 : 461,319.45 = 97,234.30 : x
  2. Step 2: Convert to fraction form
    307,575.10/461,319.45 = 97,234.30/x
  3. Step 3: Cross multiply
    307,575.10x = 461,319.45 × 97,234.30
  4. Step 4: Simplify right side
    307,575.10x = 44,856,073,797.14
  5. Step 5: Solve for x
    x = 44,856,073,797.14/307,575.10
  6. Step 6: Final answer
    x = 145,837.79

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1.5x scale

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.