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Finding the Fourth Proportional to 497,437.86, 686,269.37 and 306,119.10

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Solution

The fourth proportional to 497,437.86, 686,269.37 and 306,119.10 is: 422,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,437.86 : 686,269.37 = 306,119.10 : x
  2. Step 2: Convert to fraction form
    497,437.86/686,269.37 = 306,119.10/x
  3. Step 3: Cross multiply
    497,437.86x = 686,269.37 × 306,119.10
  4. Step 4: Simplify right side
    497,437.86x = 210,080,160,371.37
  5. Step 5: Solve for x
    x = 210,080,160,371.37/497,437.86
  6. Step 6: Final answer
    x = 422,324.43

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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.