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Finding the Fourth Proportional to 382,020.76, 572,487.66 and 281,389.48

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Solution

The fourth proportional to 382,020.76, 572,487.66 and 281,389.48 is: 421,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,020.76 : 572,487.66 = 281,389.48 : x
  2. Step 2: Convert to fraction form
    382,020.76/572,487.66 = 281,389.48/x
  3. Step 3: Cross multiply
    382,020.76x = 572,487.66 × 281,389.48
  4. Step 4: Simplify right side
    382,020.76x = 161,092,004,953.82
  5. Step 5: Solve for x
    x = 161,092,004,953.82/382,020.76
  6. Step 6: Final answer
    x = 421,683.90

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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.