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Finding the Fourth Proportional to 455,689.42, 682,892.29 and 348,659

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Solution

The fourth proportional to 455,689.42, 682,892.29 and 348,659 is: 522,497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,689.42 : 682,892.29 = 348,659 : x
  2. Step 2: Convert to fraction form
    455,689.42/682,892.29 = 348,659/x
  3. Step 3: Cross multiply
    455,689.42x = 682,892.29 × 348,659
  4. Step 4: Simplify right side
    455,689.42x = 238,096,542,939.11
  5. Step 5: Solve for x
    x = 238,096,542,939.11/455,689.42
  6. Step 6: Final answer
    x = 522,497.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.