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Finding the Fourth Proportional to 446,728, 616,484.64 and 245,524

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Solution

The fourth proportional to 446,728, 616,484.64 and 245,524 is: 338,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,728 : 616,484.64 = 245,524 : x
  2. Step 2: Convert to fraction form
    446,728/616,484.64 = 245,524/x
  3. Step 3: Cross multiply
    446,728x = 616,484.64 × 245,524
  4. Step 4: Simplify right side
    446,728x = 151,361,774,751.36
  5. Step 5: Solve for x
    x = 151,361,774,751.36/446,728
  6. Step 6: Final answer
    x = 338,823.12

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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.