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Finding the Fourth Proportional to 548,995.68, 823,756.08 and 309,300.48

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Solution

The fourth proportional to 548,995.68, 823,756.08 and 309,300.48 is: 464,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,995.68 : 823,756.08 = 309,300.48 : x
  2. Step 2: Convert to fraction form
    548,995.68/823,756.08 = 309,300.48/x
  3. Step 3: Cross multiply
    548,995.68x = 823,756.08 × 309,300.48
  4. Step 4: Simplify right side
    548,995.68x = 254,788,150,946.92
  5. Step 5: Solve for x
    x = 254,788,150,946.92/548,995.68
  6. Step 6: Final answer
    x = 464,098.64

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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.