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Finding the Fourth Proportional to 289,225.46, 433,083.67 and 232,757.12

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Solution

The fourth proportional to 289,225.46, 433,083.67 and 232,757.12 is: 348,528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,225.46 : 433,083.67 = 232,757.12 : x
  2. Step 2: Convert to fraction form
    289,225.46/433,083.67 = 232,757.12/x
  3. Step 3: Cross multiply
    289,225.46x = 433,083.67 × 232,757.12
  4. Step 4: Simplify right side
    289,225.46x = 100,803,305,000.92
  5. Step 5: Solve for x
    x = 100,803,305,000.92/289,225.46
  6. Step 6: Final answer
    x = 348,528.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.