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Finding the Fourth Proportional to 328,094.40, 492,433.20 and 280,855.20

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Solution

The fourth proportional to 328,094.40, 492,433.20 and 280,855.20 is: 421,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,094.40 : 492,433.20 = 280,855.20 : x
  2. Step 2: Convert to fraction form
    328,094.40/492,433.20 = 280,855.20/x
  3. Step 3: Cross multiply
    328,094.40x = 492,433.20 × 280,855.20
  4. Step 4: Simplify right side
    328,094.40x = 138,302,424,872.64
  5. Step 5: Solve for x
    x = 138,302,424,872.64/328,094.40
  6. Step 6: Final answer
    x = 421,532.42

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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.