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Finding the Fourth Proportional to 397,847.36, 596,765.19 and 98,327.96

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Solution

The fourth proportional to 397,847.36, 596,765.19 and 98,327.96 is: 147,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,847.36 : 596,765.19 = 98,327.96 : x
  2. Step 2: Convert to fraction form
    397,847.36/596,765.19 = 98,327.96/x
  3. Step 3: Cross multiply
    397,847.36x = 596,765.19 × 98,327.96
  4. Step 4: Simplify right side
    397,847.36x = 58,678,706,711.29
  5. Step 5: Solve for x
    x = 58,678,706,711.29/397,847.36
  6. Step 6: Final answer
    x = 147,490.50

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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.