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Finding the Fourth Proportional to 306,795.60, 460,366.20 and 119,782.80

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Solution

The fourth proportional to 306,795.60, 460,366.20 and 119,782.80 is: 179,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,795.60 : 460,366.20 = 119,782.80 : x
  2. Step 2: Convert to fraction form
    306,795.60/460,366.20 = 119,782.80/x
  3. Step 3: Cross multiply
    306,795.60x = 460,366.20 × 119,782.80
  4. Step 4: Simplify right side
    306,795.60x = 55,143,952,461.36
  5. Step 5: Solve for x
    x = 55,143,952,461.36/306,795.60
  6. Step 6: Final answer
    x = 179,741.67

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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.