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Finding the Fourth Proportional to 510,715.84, 704,775.36 and 284,356.48

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Solution

The fourth proportional to 510,715.84, 704,775.36 and 284,356.48 is: 392,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,715.84 : 704,775.36 = 284,356.48 : x
  2. Step 2: Convert to fraction form
    510,715.84/704,775.36 = 284,356.48/x
  3. Step 3: Cross multiply
    510,715.84x = 704,775.36 × 284,356.48
  4. Step 4: Simplify right side
    510,715.84x = 200,407,440,560.33
  5. Step 5: Solve for x
    x = 200,407,440,560.33/510,715.84
  6. Step 6: Final answer
    x = 392,404.98

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