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Finding the Fourth Proportional to 405,904.68, 608,785.74 and 125,424.36

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Solution

The fourth proportional to 405,904.68, 608,785.74 and 125,424.36 is: 188,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,904.68 : 608,785.74 = 125,424.36 : x
  2. Step 2: Convert to fraction form
    405,904.68/608,785.74 = 125,424.36/x
  3. Step 3: Cross multiply
    405,904.68x = 608,785.74 × 125,424.36
  4. Step 4: Simplify right side
    405,904.68x = 76,356,561,816.63
  5. Step 5: Solve for x
    x = 76,356,561,816.63/405,904.68
  6. Step 6: Final answer
    x = 188,114.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.