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Finding the Fourth Proportional to 420,311.69, 630,420.82 and 150,428.94

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Solution

The fourth proportional to 420,311.69, 630,420.82 and 150,428.94 is: 225,626.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,311.69 : 630,420.82 = 150,428.94 : x
  2. Step 2: Convert to fraction form
    420,311.69/630,420.82 = 150,428.94/x
  3. Step 3: Cross multiply
    420,311.69x = 630,420.82 × 150,428.94
  4. Step 4: Simplify right side
    420,311.69x = 94,833,535,706.53
  5. Step 5: Solve for x
    x = 94,833,535,706.53/420,311.69
  6. Step 6: Final answer
    x = 225,626.69

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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.