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Finding the Fourth Proportional to 548,132.40, 821,315.40 and 310,769.20

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Solution

The fourth proportional to 548,132.40, 821,315.40 and 310,769.20 is: 465,653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,132.40 : 821,315.40 = 310,769.20 : x
  2. Step 2: Convert to fraction form
    548,132.40/821,315.40 = 310,769.20/x
  3. Step 3: Cross multiply
    548,132.40x = 821,315.40 × 310,769.20
  4. Step 4: Simplify right side
    548,132.40x = 255,239,529,805.68
  5. Step 5: Solve for x
    x = 255,239,529,805.68/548,132.40
  6. Step 6: Final answer
    x = 465,653.06

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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.