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Finding the Fourth Proportional to 2,074,380, 3,111,570 and 498,444

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Solution

The fourth proportional to 2,074,380, 3,111,570 and 498,444 is: 747,666

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074,380 : 3,111,570 = 498,444 : x
  2. Step 2: Convert to fraction form
    2,074,380/3,111,570 = 498,444/x
  3. Step 3: Cross multiply
    2,074,380x = 3,111,570 × 498,444
  4. Step 4: Simplify right side
    2,074,380x = 1,550,943,397,080
  5. Step 5: Solve for x
    x = 1,550,943,397,080/2,074,380
  6. Step 6: Final answer
    x = 747,666

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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.