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Finding the Fourth Proportional to 446,420.96, 616,065.46 and 242,473.86

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Solution

The fourth proportional to 446,420.96, 616,065.46 and 242,473.86 is: 334,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,420.96 : 616,065.46 = 242,473.86 : x
  2. Step 2: Convert to fraction form
    446,420.96/616,065.46 = 242,473.86/x
  3. Step 3: Cross multiply
    446,420.96x = 616,065.46 × 242,473.86
  4. Step 4: Simplify right side
    446,420.96x = 149,379,770,098.88
  5. Step 5: Solve for x
    x = 149,379,770,098.88/446,420.96
  6. Step 6: Final answer
    x = 334,616.39

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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.