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Finding the Fourth Proportional to 510,378.50, 704,322.33 and 284,024.18

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Solution

The fourth proportional to 510,378.50, 704,322.33 and 284,024.18 is: 391,953.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,378.50 : 704,322.33 = 284,024.18 : x
  2. Step 2: Convert to fraction form
    510,378.50/704,322.33 = 284,024.18/x
  3. Step 3: Cross multiply
    510,378.50x = 704,322.33 × 284,024.18
  4. Step 4: Simplify right side
    510,378.50x = 200,044,572,233.94
  5. Step 5: Solve for x
    x = 200,044,572,233.94/510,378.50
  6. Step 6: Final answer
    x = 391,953.37

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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.