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Finding the Fourth Proportional to 405,905.60, 608,896.80 and 110,417.60

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Solution

The fourth proportional to 405,905.60, 608,896.80 and 110,417.60 is: 165,636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,905.60 : 608,896.80 = 110,417.60 : x
  2. Step 2: Convert to fraction form
    405,905.60/608,896.80 = 110,417.60/x
  3. Step 3: Cross multiply
    405,905.60x = 608,896.80 × 110,417.60
  4. Step 4: Simplify right side
    405,905.60x = 67,232,923,303.68
  5. Step 5: Solve for x
    x = 67,232,923,303.68/405,905.60
  6. Step 6: Final answer
    x = 165,636.85

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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.