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Finding the Fourth Proportional to 588,095, 811,571.12 and 319,823

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Solution

The fourth proportional to 588,095, 811,571.12 and 319,823 is: 441,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,095 : 811,571.12 = 319,823 : x
  2. Step 2: Convert to fraction form
    588,095/811,571.12 = 319,823/x
  3. Step 3: Cross multiply
    588,095x = 811,571.12 × 319,823
  4. Step 4: Simplify right side
    588,095x = 259,559,110,311.76
  5. Step 5: Solve for x
    x = 259,559,110,311.76/588,095
  6. Step 6: Final answer
    x = 441,355.75

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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.