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Finding the Fourth Proportional to 420,328, 630,497.40 and 139,845.34

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Solution

The fourth proportional to 420,328, 630,497.40 and 139,845.34 is: 209,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,328 : 630,497.40 = 139,845.34 : x
  2. Step 2: Convert to fraction form
    420,328/630,497.40 = 139,845.34/x
  3. Step 3: Cross multiply
    420,328x = 630,497.40 × 139,845.34
  4. Step 4: Simplify right side
    420,328x = 88,172,123,272.12
  5. Step 5: Solve for x
    x = 88,172,123,272.12/420,328
  6. Step 6: Final answer
    x = 209,769.81

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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.