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Finding the Fourth Proportional to 558,716.50, 770,894.31 and 329,282.92

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Solution

The fourth proportional to 558,716.50, 770,894.31 and 329,282.92 is: 454,331.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,716.50 : 770,894.31 = 329,282.92 : x
  2. Step 2: Convert to fraction form
    558,716.50/770,894.31 = 329,282.92/x
  3. Step 3: Cross multiply
    558,716.50x = 770,894.31 × 329,282.92
  4. Step 4: Simplify right side
    558,716.50x = 253,842,329,408.19
  5. Step 5: Solve for x
    x = 253,842,329,408.19/558,716.50
  6. Step 6: Final answer
    x = 454,331.18

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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.