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Finding the Fourth Proportional to 510,797.56, 704,916.66 and 281,371.48

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Solution

The fourth proportional to 510,797.56, 704,916.66 and 281,371.48 is: 388,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,797.56 : 704,916.66 = 281,371.48 : x
  2. Step 2: Convert to fraction form
    510,797.56/704,916.66 = 281,371.48/x
  3. Step 3: Cross multiply
    510,797.56x = 704,916.66 × 281,371.48
  4. Step 4: Simplify right side
    510,797.56x = 198,343,443,900.86
  5. Step 5: Solve for x
    x = 198,343,443,900.86/510,797.56
  6. Step 6: Final answer
    x = 388,301.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.