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Finding the Fourth Proportional to 297,118.53, 445,634.06 and 97,460.01

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Solution

The fourth proportional to 297,118.53, 445,634.06 and 97,460.01 is: 146,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,118.53 : 445,634.06 = 97,460.01 : x
  2. Step 2: Convert to fraction form
    297,118.53/445,634.06 = 97,460.01/x
  3. Step 3: Cross multiply
    297,118.53x = 445,634.06 × 97,460.01
  4. Step 4: Simplify right side
    297,118.53x = 43,431,499,456.64
  5. Step 5: Solve for x
    x = 43,431,499,456.64/297,118.53
  6. Step 6: Final answer
    x = 146,175.67

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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.