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Finding the Fourth Proportional to 413,048.20, 618,794.70 and 212,686.60

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Solution

The fourth proportional to 413,048.20, 618,794.70 and 212,686.60 is: 318,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,048.20 : 618,794.70 = 212,686.60 : x
  2. Step 2: Convert to fraction form
    413,048.20/618,794.70 = 212,686.60/x
  3. Step 3: Cross multiply
    413,048.20x = 618,794.70 × 212,686.60
  4. Step 4: Simplify right side
    413,048.20x = 131,609,340,841.02
  5. Step 5: Solve for x
    x = 131,609,340,841.02/413,048.20
  6. Step 6: Final answer
    x = 318,629.50

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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.