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Finding the Fourth Proportional to 548,798.07, 822,724.07 and 212,075

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Solution

The fourth proportional to 548,798.07, 822,724.07 and 212,075 is: 317,929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,798.07 : 822,724.07 = 212,075 : x
  2. Step 2: Convert to fraction form
    548,798.07/822,724.07 = 212,075/x
  3. Step 3: Cross multiply
    548,798.07x = 822,724.07 × 212,075
  4. Step 4: Simplify right side
    548,798.07x = 174,479,207,145.25
  5. Step 5: Solve for x
    x = 174,479,207,145.25/548,798.07
  6. Step 6: Final answer
    x = 317,929.70

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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.