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Finding the Fourth Proportional to 649,698.53, 973,893.56 and 270,829.04

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Solution

The fourth proportional to 649,698.53, 973,893.56 and 270,829.04 is: 405,970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,698.53 : 973,893.56 = 270,829.04 : x
  2. Step 2: Convert to fraction form
    649,698.53/973,893.56 = 270,829.04/x
  3. Step 3: Cross multiply
    649,698.53x = 973,893.56 × 270,829.04
  4. Step 4: Simplify right side
    649,698.53x = 263,758,651,693.37
  5. Step 5: Solve for x
    x = 263,758,651,693.37/649,698.53
  6. Step 6: Final answer
    x = 405,970.83

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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.