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Finding the Fourth Proportional to 510,826.57, 765,058.84 and 493,111.87

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Solution

The fourth proportional to 510,826.57, 765,058.84 and 493,111.87 is: 738,527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,826.57 : 765,058.84 = 493,111.87 : x
  2. Step 2: Convert to fraction form
    510,826.57/765,058.84 = 493,111.87/x
  3. Step 3: Cross multiply
    510,826.57x = 765,058.84 × 493,111.87
  4. Step 4: Simplify right side
    510,826.57x = 377,259,592,107.00
  5. Step 5: Solve for x
    x = 377,259,592,107.00/510,826.57
  6. Step 6: Final answer
    x = 738,527.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.