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Finding the Fourth Proportional to 651,414.34, 977,214.26 and 202,174.03

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Solution

The fourth proportional to 651,414.34, 977,214.26 and 202,174.03 is: 303,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,414.34 : 977,214.26 = 202,174.03 : x
  2. Step 2: Convert to fraction form
    651,414.34/977,214.26 = 202,174.03/x
  3. Step 3: Cross multiply
    651,414.34x = 977,214.26 × 202,174.03
  4. Step 4: Simplify right side
    651,414.34x = 197,567,345,117.67
  5. Step 5: Solve for x
    x = 197,567,345,117.67/651,414.34
  6. Step 6: Final answer
    x = 303,289.83

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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.