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Finding the Fourth Proportional to 492,072.34, 679,109.99 and 301,211.86

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Solution

The fourth proportional to 492,072.34, 679,109.99 and 301,211.86 is: 415,703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,072.34 : 679,109.99 = 301,211.86 : x
  2. Step 2: Convert to fraction form
    492,072.34/679,109.99 = 301,211.86/x
  3. Step 3: Cross multiply
    492,072.34x = 679,109.99 × 301,211.86
  4. Step 4: Simplify right side
    492,072.34x = 204,555,983,232.48
  5. Step 5: Solve for x
    x = 204,555,983,232.48/492,072.34
  6. Step 6: Final answer
    x = 415,703.07

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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.