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Finding the Fourth Proportional to 405,107.60, 607,661.40 and 109,619.60

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Solution

The fourth proportional to 405,107.60, 607,661.40 and 109,619.60 is: 164,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,107.60 : 607,661.40 = 109,619.60 : x
  2. Step 2: Convert to fraction form
    405,107.60/607,661.40 = 109,619.60/x
  3. Step 3: Cross multiply
    405,107.60x = 607,661.40 × 109,619.60
  4. Step 4: Simplify right side
    405,107.60x = 66,611,599,603.44
  5. Step 5: Solve for x
    x = 66,611,599,603.44/405,107.60
  6. Step 6: Final answer
    x = 164,429.40

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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.