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Finding the Fourth Proportional to 651,945.20, 978,355.20 and 385,422.80

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Solution

The fourth proportional to 651,945.20, 978,355.20 and 385,422.80 is: 578,392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,945.20 : 978,355.20 = 385,422.80 : x
  2. Step 2: Convert to fraction form
    651,945.20/978,355.20 = 385,422.80/x
  3. Step 3: Cross multiply
    651,945.20x = 978,355.20 × 385,422.80
  4. Step 4: Simplify right side
    651,945.20x = 377,080,400,578.56
  5. Step 5: Solve for x
    x = 377,080,400,578.56/651,945.20
  6. Step 6: Final answer
    x = 578,392.79

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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.