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Finding the Fourth Proportional to 774,969.12, 1,162,452.06 and 214,002

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Solution

The fourth proportional to 774,969.12, 1,162,452.06 and 214,002 is: 321,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,969.12 : 1,162,452.06 = 214,002 : x
  2. Step 2: Convert to fraction form
    774,969.12/1,162,452.06 = 214,002/x
  3. Step 3: Cross multiply
    774,969.12x = 1,162,452.06 × 214,002
  4. Step 4: Simplify right side
    774,969.12x = 248,767,065,744.12
  5. Step 5: Solve for x
    x = 248,767,065,744.12/774,969.12
  6. Step 6: Final answer
    x = 321,002.55

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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.