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Finding the Fourth Proportional to 446,682, 616,421.16 and 245,478

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Solution

The fourth proportional to 446,682, 616,421.16 and 245,478 is: 338,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,682 : 616,421.16 = 245,478 : x
  2. Step 2: Convert to fraction form
    446,682/616,421.16 = 245,478/x
  3. Step 3: Cross multiply
    446,682x = 616,421.16 × 245,478
  4. Step 4: Simplify right side
    446,682x = 151,317,833,514.48
  5. Step 5: Solve for x
    x = 151,317,833,514.48/446,682
  6. Step 6: Final answer
    x = 338,759.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.