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Finding the Fourth Proportional to 405,994.64, 560,268.44 and 224,706.92

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Solution

The fourth proportional to 405,994.64, 560,268.44 and 224,706.92 is: 310,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,994.64 : 560,268.44 = 224,706.92 : x
  2. Step 2: Convert to fraction form
    405,994.64/560,268.44 = 224,706.92/x
  3. Step 3: Cross multiply
    405,994.64x = 560,268.44 × 224,706.92
  4. Step 4: Simplify right side
    405,994.64x = 125,896,195,525.61
  5. Step 5: Solve for x
    x = 125,896,195,525.61/405,994.64
  6. Step 6: Final answer
    x = 310,093.25

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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.