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Finding the Fourth Proportional to 446,538, 616,232.16 and 245,334

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Solution

The fourth proportional to 446,538, 616,232.16 and 245,334 is: 338,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,538 : 616,232.16 = 245,334 : x
  2. Step 2: Convert to fraction form
    446,538/616,232.16 = 245,334/x
  3. Step 3: Cross multiply
    446,538x = 616,232.16 × 245,334
  4. Step 4: Simplify right side
    446,538x = 151,182,700,741.44
  5. Step 5: Solve for x
    x = 151,182,700,741.44/446,538
  6. Step 6: Final answer
    x = 338,566.26

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Why These Related Problems?

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