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Finding the Fourth Proportional to 777,529, 1,073,000.82 and 433,355.41

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Solution

The fourth proportional to 777,529, 1,073,000.82 and 433,355.41 is: 598,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,529 : 1,073,000.82 = 433,355.41 : x
  2. Step 2: Convert to fraction form
    777,529/1,073,000.82 = 433,355.41/x
  3. Step 3: Cross multiply
    777,529x = 1,073,000.82 × 433,355.41
  4. Step 4: Simplify right side
    777,529x = 464,990,710,281.44
  5. Step 5: Solve for x
    x = 464,990,710,281.44/777,529
  6. Step 6: Final answer
    x = 598,036.49

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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.