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Finding the Fourth Proportional to 288,585.50, 432,865.93 and 281,827.67

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Solution

The fourth proportional to 288,585.50, 432,865.93 and 281,827.67 is: 422,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,585.50 : 432,865.93 = 281,827.67 : x
  2. Step 2: Convert to fraction form
    288,585.50/432,865.93 = 281,827.67/x
  3. Step 3: Cross multiply
    288,585.50x = 432,865.93 × 281,827.67
  4. Step 4: Simplify right side
    288,585.50x = 121,993,596,474.28
  5. Step 5: Solve for x
    x = 121,993,596,474.28/288,585.50
  6. Step 6: Final answer
    x = 422,729.47

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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.