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Finding the Fourth Proportional to 497,765.92, 686,917.65 and 271,411.42

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Solution

The fourth proportional to 497,765.92, 686,917.65 and 271,411.42 is: 374,548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,765.92 : 686,917.65 = 271,411.42 : x
  2. Step 2: Convert to fraction form
    497,765.92/686,917.65 = 271,411.42/x
  3. Step 3: Cross multiply
    497,765.92x = 686,917.65 × 271,411.42
  4. Step 4: Simplify right side
    497,765.92x = 186,437,294,809.56
  5. Step 5: Solve for x
    x = 186,437,294,809.56/497,765.92
  6. Step 6: Final answer
    x = 374,548.13

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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.