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Finding the Fourth Proportional to 329,707.85, 494,453.33 and 116,437.07

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Solution

The fourth proportional to 329,707.85, 494,453.33 and 116,437.07 is: 174,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,707.85 : 494,453.33 = 116,437.07 : x
  2. Step 2: Convert to fraction form
    329,707.85/494,453.33 = 116,437.07/x
  3. Step 3: Cross multiply
    329,707.85x = 494,453.33 × 116,437.07
  4. Step 4: Simplify right side
    329,707.85x = 57,572,697,650.89
  5. Step 5: Solve for x
    x = 57,572,697,650.89/329,707.85
  6. Step 6: Final answer
    x = 174,617.31

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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.