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Finding the Fourth Proportional to 397,004.16, 595,443.72 and 329,966.66

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Solution

The fourth proportional to 397,004.16, 595,443.72 and 329,966.66 is: 494,898.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,004.16 : 595,443.72 = 329,966.66 : x
  2. Step 2: Convert to fraction form
    397,004.16/595,443.72 = 329,966.66/x
  3. Step 3: Cross multiply
    397,004.16x = 595,443.72 × 329,966.66
  4. Step 4: Simplify right side
    397,004.16x = 196,476,575,506.38
  5. Step 5: Solve for x
    x = 196,476,575,506.38/397,004.16
  6. Step 6: Final answer
    x = 494,898.03

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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.