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Finding the Fourth Proportional to 497,373.56, 686,376.36 and 271,019.04

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Solution

The fourth proportional to 497,373.56, 686,376.36 and 271,019.04 is: 374,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,373.56 : 686,376.36 = 271,019.04 : x
  2. Step 2: Convert to fraction form
    497,373.56/686,376.36 = 271,019.04/x
  3. Step 3: Cross multiply
    497,373.56x = 686,376.36 × 271,019.04
  4. Step 4: Simplify right side
    497,373.56x = 186,021,062,165.89
  5. Step 5: Solve for x
    x = 186,021,062,165.89/497,373.56
  6. Step 6: Final answer
    x = 374,006.74

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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.