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Finding the Fourth Proportional to 394,971.80, 592,457.70 and 366,978.20

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Solution

The fourth proportional to 394,971.80, 592,457.70 and 366,978.20 is: 550,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,971.80 : 592,457.70 = 366,978.20 : x
  2. Step 2: Convert to fraction form
    394,971.80/592,457.70 = 366,978.20/x
  3. Step 3: Cross multiply
    394,971.80x = 592,457.70 × 366,978.20
  4. Step 4: Simplify right side
    394,971.80x = 217,419,060,322.14
  5. Step 5: Solve for x
    x = 217,419,060,322.14/394,971.80
  6. Step 6: Final answer
    x = 550,467.30

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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.