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Finding the Fourth Proportional to 514,408.86, 709,876.49 and 284,965.43

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Solution

The fourth proportional to 514,408.86, 709,876.49 and 284,965.43 is: 393,248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,408.86 : 709,876.49 = 284,965.43 : x
  2. Step 2: Convert to fraction form
    514,408.86/709,876.49 = 284,965.43/x
  3. Step 3: Cross multiply
    514,408.86x = 709,876.49 × 284,965.43
  4. Step 4: Simplify right side
    514,408.86x = 202,290,254,245.53
  5. Step 5: Solve for x
    x = 202,290,254,245.53/514,408.86
  6. Step 6: Final answer
    x = 393,248.00

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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.