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Finding the Fourth Proportional to 497,806.54, 686,971.74 and 271,452.04

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Solution

The fourth proportional to 497,806.54, 686,971.74 and 271,452.04 is: 374,603.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,806.54 : 686,971.74 = 271,452.04 : x
  2. Step 2: Convert to fraction form
    497,806.54/686,971.74 = 271,452.04/x
  3. Step 3: Cross multiply
    497,806.54x = 686,971.74 × 271,452.04
  4. Step 4: Simplify right side
    497,806.54x = 186,479,880,245.35
  5. Step 5: Solve for x
    x = 186,479,880,245.35/497,806.54
  6. Step 6: Final answer
    x = 374,603.11

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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.