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Finding the Fourth Proportional to 416,699.74, 624,762.38 and 164,009.24

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Solution

The fourth proportional to 416,699.74, 624,762.38 and 164,009.24 is: 245,900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,699.74 : 624,762.38 = 164,009.24 : x
  2. Step 2: Convert to fraction form
    416,699.74/624,762.38 = 164,009.24/x
  3. Step 3: Cross multiply
    416,699.74x = 624,762.38 × 164,009.24
  4. Step 4: Simplify right side
    416,699.74x = 102,466,800,742.44
  5. Step 5: Solve for x
    x = 102,466,800,742.44/416,699.74
  6. Step 6: Final answer
    x = 245,900.80

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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.