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Finding the Fourth Proportional to 446,334.75, 669,505.77 and 165,852

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Solution

The fourth proportional to 446,334.75, 669,505.77 and 165,852 is: 248,779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,334.75 : 669,505.77 = 165,852 : x
  2. Step 2: Convert to fraction form
    446,334.75/669,505.77 = 165,852/x
  3. Step 3: Cross multiply
    446,334.75x = 669,505.77 × 165,852
  4. Step 4: Simplify right side
    446,334.75x = 111,038,870,966.04
  5. Step 5: Solve for x
    x = 111,038,870,966.04/446,334.75
  6. Step 6: Final answer
    x = 248,779.35

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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.