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Finding the Fourth Proportional to 407,367.42, 610,846.09 and 141,056.43

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Solution

The fourth proportional to 407,367.42, 610,846.09 and 141,056.43 is: 211,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,367.42 : 610,846.09 = 141,056.43 : x
  2. Step 2: Convert to fraction form
    407,367.42/610,846.09 = 141,056.43/x
  3. Step 3: Cross multiply
    407,367.42x = 610,846.09 × 141,056.43
  4. Step 4: Simplify right side
    407,367.42x = 86,163,765,680.63
  5. Step 5: Solve for x
    x = 86,163,765,680.63/407,367.42
  6. Step 6: Final answer
    x = 211,513.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.