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Finding the Fourth Proportional to 416,006.06, 622,784.36 and 257,725.58

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Solution

The fourth proportional to 416,006.06, 622,784.36 and 257,725.58 is: 385,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,006.06 : 622,784.36 = 257,725.58 : x
  2. Step 2: Convert to fraction form
    416,006.06/622,784.36 = 257,725.58/x
  3. Step 3: Cross multiply
    416,006.06x = 622,784.36 × 257,725.58
  4. Step 4: Simplify right side
    416,006.06x = 160,507,460,395.93
  5. Step 5: Solve for x
    x = 160,507,460,395.93/416,006.06
  6. Step 6: Final answer
    x = 385,829.62

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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.