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Finding the Fourth Proportional to 420,225.24, 630,454.50 and 233,367.96

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Solution

The fourth proportional to 420,225.24, 630,454.50 and 233,367.96 is: 350,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,225.24 : 630,454.50 = 233,367.96 : x
  2. Step 2: Convert to fraction form
    420,225.24/630,454.50 = 233,367.96/x
  3. Step 3: Cross multiply
    420,225.24x = 630,454.50 × 233,367.96
  4. Step 4: Simplify right side
    420,225.24x = 147,127,880,537.82
  5. Step 5: Solve for x
    x = 147,127,880,537.82/420,225.24
  6. Step 6: Final answer
    x = 350,116.71

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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.