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Finding the Fourth Proportional to 513,916.02, 709,195.51 and 284,468.38

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Solution

The fourth proportional to 513,916.02, 709,195.51 and 284,468.38 is: 392,561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,916.02 : 709,195.51 = 284,468.38 : x
  2. Step 2: Convert to fraction form
    513,916.02/709,195.51 = 284,468.38/x
  3. Step 3: Cross multiply
    513,916.02x = 709,195.51 × 284,468.38
  4. Step 4: Simplify right side
    513,916.02x = 201,743,697,832.97
  5. Step 5: Solve for x
    x = 201,743,697,832.97/513,916.02
  6. Step 6: Final answer
    x = 392,561.61

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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.