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Finding the Fourth Proportional to 398,546.03, 597,816.81 and 99,026.48

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Solution

The fourth proportional to 398,546.03, 597,816.81 and 99,026.48 is: 148,539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,546.03 : 597,816.81 = 99,026.48 : x
  2. Step 2: Convert to fraction form
    398,546.03/597,816.81 = 99,026.48/x
  3. Step 3: Cross multiply
    398,546.03x = 597,816.81 × 99,026.48
  4. Step 4: Simplify right side
    398,546.03x = 59,199,694,379.13
  5. Step 5: Solve for x
    x = 59,199,694,379.13/398,546.03
  6. Step 6: Final answer
    x = 148,539.16

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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.