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Finding the Fourth Proportional to 508,460.42, 762,391.58 and 192,939.50

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Solution

The fourth proportional to 508,460.42, 762,391.58 and 192,939.50 is: 289,295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,460.42 : 762,391.58 = 192,939.50 : x
  2. Step 2: Convert to fraction form
    508,460.42/762,391.58 = 192,939.50/x
  3. Step 3: Cross multiply
    508,460.42x = 762,391.58 × 192,939.50
  4. Step 4: Simplify right side
    508,460.42x = 147,095,450,249.41
  5. Step 5: Solve for x
    x = 147,095,450,249.41/508,460.42
  6. Step 6: Final answer
    x = 289,295.77

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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.