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Finding the Fourth Proportional to 697,152, 962,069.76 and 379,200

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Solution

The fourth proportional to 697,152, 962,069.76 and 379,200 is: 523,296

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,152 : 962,069.76 = 379,200 : x
  2. Step 2: Convert to fraction form
    697,152/962,069.76 = 379,200/x
  3. Step 3: Cross multiply
    697,152x = 962,069.76 × 379,200
  4. Step 4: Simplify right side
    697,152x = 364,816,852,992
  5. Step 5: Solve for x
    x = 364,816,852,992/697,152
  6. Step 6: Final answer
    x = 523,296

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.