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Finding the Fourth Proportional to 407,246.40, 610,869.60 and 111,758.40

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Solution

The fourth proportional to 407,246.40, 610,869.60 and 111,758.40 is: 167,637.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,246.40 : 610,869.60 = 111,758.40 : x
  2. Step 2: Convert to fraction form
    407,246.40/610,869.60 = 111,758.40/x
  3. Step 3: Cross multiply
    407,246.40x = 610,869.60 × 111,758.40
  4. Step 4: Simplify right side
    407,246.40x = 68,269,809,104.64
  5. Step 5: Solve for x
    x = 68,269,809,104.64/407,246.40
  6. Step 6: Final answer
    x = 167,637.60

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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.