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Finding the Fourth Proportional to 462,695.63, 694,145.50 and 196,683.53

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Solution

The fourth proportional to 462,695.63, 694,145.50 and 196,683.53 is: 295,068.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,695.63 : 694,145.50 = 196,683.53 : x
  2. Step 2: Convert to fraction form
    462,695.63/694,145.50 = 196,683.53/x
  3. Step 3: Cross multiply
    462,695.63x = 694,145.50 × 196,683.53
  4. Step 4: Simplify right side
    462,695.63x = 136,526,983,311.18
  5. Step 5: Solve for x
    x = 136,526,983,311.18/462,695.63
  6. Step 6: Final answer
    x = 295,068.67

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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.