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Finding the Fourth Proportional to 297,781.33, 446,576.01 and 98,054.16

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Solution

The fourth proportional to 297,781.33, 446,576.01 and 98,054.16 is: 147,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,781.33 : 446,576.01 = 98,054.16 : x
  2. Step 2: Convert to fraction form
    297,781.33/446,576.01 = 98,054.16/x
  3. Step 3: Cross multiply
    297,781.33x = 446,576.01 × 98,054.16
  4. Step 4: Simplify right side
    297,781.33x = 43,788,637,395.21
  5. Step 5: Solve for x
    x = 43,788,637,395.21/297,781.33
  6. Step 6: Final answer
    x = 147,049.64

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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.