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Finding the Fourth Proportional to 756,309, 1,043,693.46 and 412,148.10

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Solution

The fourth proportional to 756,309, 1,043,693.46 and 412,148.10 is: 568,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,309 : 1,043,693.46 = 412,148.10 : x
  2. Step 2: Convert to fraction form
    756,309/1,043,693.46 = 412,148.10/x
  3. Step 3: Cross multiply
    756,309x = 1,043,693.46 × 412,148.10
  4. Step 4: Simplify right side
    756,309x = 430,156,276,521.43
  5. Step 5: Solve for x
    x = 430,156,276,521.43/756,309
  6. Step 6: Final answer
    x = 568,757.32

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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.