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Finding the Fourth Proportional to 412,048.60, 618,461.70 and 254,584.60

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Solution

The fourth proportional to 412,048.60, 618,461.70 and 254,584.60 is: 382,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,048.60 : 618,461.70 = 254,584.60 : x
  2. Step 2: Convert to fraction form
    412,048.60/618,461.70 = 254,584.60/x
  3. Step 3: Cross multiply
    412,048.60x = 618,461.70 × 254,584.60
  4. Step 4: Simplify right side
    412,048.60x = 157,450,824,509.82
  5. Step 5: Solve for x
    x = 157,450,824,509.82/412,048.60
  6. Step 6: Final answer
    x = 382,117.12

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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.