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Finding the Fourth Proportional to 405,924.60, 608,925.30 and 110,436.60

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Solution

The fourth proportional to 405,924.60, 608,925.30 and 110,436.60 is: 165,665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,924.60 : 608,925.30 = 110,436.60 : x
  2. Step 2: Convert to fraction form
    405,924.60/608,925.30 = 110,436.60/x
  3. Step 3: Cross multiply
    405,924.60x = 608,925.30 × 110,436.60
  4. Step 4: Simplify right side
    405,924.60x = 67,247,639,785.98
  5. Step 5: Solve for x
    x = 67,247,639,785.98/405,924.60
  6. Step 6: Final answer
    x = 165,665.35

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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.