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Finding the Fourth Proportional to 497,193.84, 686,123.94 and 270,839.40

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Solution

The fourth proportional to 497,193.84, 686,123.94 and 270,839.40 is: 373,756.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,193.84 : 686,123.94 = 270,839.40 : x
  2. Step 2: Convert to fraction form
    497,193.84/686,123.94 = 270,839.40/x
  3. Step 3: Cross multiply
    497,193.84x = 686,123.94 × 270,839.40
  4. Step 4: Simplify right side
    497,193.84x = 185,829,396,235.24
  5. Step 5: Solve for x
    x = 185,829,396,235.24/497,193.84
  6. Step 6: Final answer
    x = 373,756.43

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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.