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Finding the Fourth Proportional to 497,572.72, 686,107.72 and 336,147.48

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Solution

The fourth proportional to 497,572.72, 686,107.72 and 336,147.48 is: 463,516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,572.72 : 686,107.72 = 336,147.48 : x
  2. Step 2: Convert to fraction form
    497,572.72/686,107.72 = 336,147.48/x
  3. Step 3: Cross multiply
    497,572.72x = 686,107.72 × 336,147.48
  4. Step 4: Simplify right side
    497,572.72x = 230,633,381,086.55
  5. Step 5: Solve for x
    x = 230,633,381,086.55/497,572.72
  6. Step 6: Final answer
    x = 463,516.93

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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.