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Finding the Fourth Proportional to 297,967.26, 446,964.66 and 98,305.10

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Solution

The fourth proportional to 297,967.26, 446,964.66 and 98,305.10 is: 147,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,967.26 : 446,964.66 = 98,305.10 : x
  2. Step 2: Convert to fraction form
    297,967.26/446,964.66 = 98,305.10/x
  3. Step 3: Cross multiply
    297,967.26x = 446,964.66 × 98,305.10
  4. Step 4: Simplify right side
    297,967.26x = 43,938,902,871.42
  5. Step 5: Solve for x
    x = 43,938,902,871.42/297,967.26
  6. Step 6: Final answer
    x = 147,462.18

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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.