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Finding the Fourth Proportional to 405,878.80, 560,047.32 and 254,868.88

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Solution

The fourth proportional to 405,878.80, 560,047.32 and 254,868.88 is: 351,677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,878.80 : 560,047.32 = 254,868.88 : x
  2. Step 2: Convert to fraction form
    405,878.80/560,047.32 = 254,868.88/x
  3. Step 3: Cross multiply
    405,878.80x = 560,047.32 × 254,868.88
  4. Step 4: Simplify right side
    405,878.80x = 142,738,633,195.40
  5. Step 5: Solve for x
    x = 142,738,633,195.40/405,878.80
  6. Step 6: Final answer
    x = 351,677.97

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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.