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Finding the Fourth Proportional to 402,813.72, 602,906.34 and 296,169.40

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Solution

The fourth proportional to 402,813.72, 602,906.34 and 296,169.40 is: 443,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,813.72 : 602,906.34 = 296,169.40 : x
  2. Step 2: Convert to fraction form
    402,813.72/602,906.34 = 296,169.40/x
  3. Step 3: Cross multiply
    402,813.72x = 602,906.34 × 296,169.40
  4. Step 4: Simplify right side
    402,813.72x = 178,562,408,974.00
  5. Step 5: Solve for x
    x = 178,562,408,974.00/402,813.72
  6. Step 6: Final answer
    x = 443,287.80

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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.