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Finding the Fourth Proportional to 508,454.90, 762,383.32 and 192,933.98

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Solution

The fourth proportional to 508,454.90, 762,383.32 and 192,933.98 is: 289,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,454.90 : 762,383.32 = 192,933.98 : x
  2. Step 2: Convert to fraction form
    508,454.90/762,383.32 = 192,933.98/x
  3. Step 3: Cross multiply
    508,454.90x = 762,383.32 × 192,933.98
  4. Step 4: Simplify right side
    508,454.90x = 147,089,648,213.21
  5. Step 5: Solve for x
    x = 147,089,648,213.21/508,454.90
  6. Step 6: Final answer
    x = 289,287.50

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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.