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Finding the Fourth Proportional to 335,833.14, 463,414.50 and 190,592.67

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Solution

The fourth proportional to 335,833.14, 463,414.50 and 190,592.67 is: 262,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,833.14 : 463,414.50 = 190,592.67 : x
  2. Step 2: Convert to fraction form
    335,833.14/463,414.50 = 190,592.67/x
  3. Step 3: Cross multiply
    335,833.14x = 463,414.50 × 190,592.67
  4. Step 4: Simplify right side
    335,833.14x = 88,323,406,871.72
  5. Step 5: Solve for x
    x = 88,323,406,871.72/335,833.14
  6. Step 6: Final answer
    x = 262,997.89

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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.