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Finding the Fourth Proportional to 405,725.94, 559,713.15 and 262,532.22

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Solution

The fourth proportional to 405,725.94, 559,713.15 and 262,532.22 is: 362,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,725.94 : 559,713.15 = 262,532.22 : x
  2. Step 2: Convert to fraction form
    405,725.94/559,713.15 = 262,532.22/x
  3. Step 3: Cross multiply
    405,725.94x = 559,713.15 × 262,532.22
  4. Step 4: Simplify right side
    405,725.94x = 146,942,735,832.69
  5. Step 5: Solve for x
    x = 146,942,735,832.69/405,725.94
  6. Step 6: Final answer
    x = 362,172.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.