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Finding the Fourth Proportional to 446,820.30, 616,610.88 and 242,871.21

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Solution

The fourth proportional to 446,820.30, 616,610.88 and 242,871.21 is: 335,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,820.30 : 616,610.88 = 242,871.21 : x
  2. Step 2: Convert to fraction form
    446,820.30/616,610.88 = 242,871.21/x
  3. Step 3: Cross multiply
    446,820.30x = 616,610.88 × 242,871.21
  4. Step 4: Simplify right side
    446,820.30x = 149,757,030,524.77
  5. Step 5: Solve for x
    x = 149,757,030,524.77/446,820.30
  6. Step 6: Final answer
    x = 335,161.65

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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.