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Finding the Fourth Proportional to 353,697.32, 530,551.48 and 196,922.24

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Solution

The fourth proportional to 353,697.32, 530,551.48 and 196,922.24 is: 295,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,697.32 : 530,551.48 = 196,922.24 : x
  2. Step 2: Convert to fraction form
    353,697.32/530,551.48 = 196,922.24/x
  3. Step 3: Cross multiply
    353,697.32x = 530,551.48 × 196,922.24
  4. Step 4: Simplify right side
    353,697.32x = 104,477,385,876.92
  5. Step 5: Solve for x
    x = 104,477,385,876.92/353,697.32
  6. Step 6: Final answer
    x = 295,386.42

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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.