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Finding the Fourth Proportional to 497,277.72, 686,325.56 and 293,378.49

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Solution

The fourth proportional to 497,277.72, 686,325.56 and 293,378.49 is: 404,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,277.72 : 686,325.56 = 293,378.49 : x
  2. Step 2: Convert to fraction form
    497,277.72/686,325.56 = 293,378.49/x
  3. Step 3: Cross multiply
    497,277.72x = 686,325.56 × 293,378.49
  4. Step 4: Simplify right side
    497,277.72x = 201,353,154,974.31
  5. Step 5: Solve for x
    x = 201,353,154,974.31/497,277.72
  6. Step 6: Final answer
    x = 404,910.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.