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Finding the Fourth Proportional to 297,052.32, 445,670.40 and 97,374.24

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Solution

The fourth proportional to 297,052.32, 445,670.40 and 97,374.24 is: 146,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,052.32 : 445,670.40 = 97,374.24 : x
  2. Step 2: Convert to fraction form
    297,052.32/445,670.40 = 97,374.24/x
  3. Step 3: Cross multiply
    297,052.32x = 445,670.40 × 97,374.24
  4. Step 4: Simplify right side
    297,052.32x = 43,396,816,490.50
  5. Step 5: Solve for x
    x = 43,396,816,490.50/297,052.32
  6. Step 6: Final answer
    x = 146,091.49

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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.