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Finding the Fourth Proportional to 697,696, 1,046,700 and 254,464

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Solution

The fourth proportional to 697,696, 1,046,700 and 254,464 is: 381,752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,696 : 1,046,700 = 254,464 : x
  2. Step 2: Convert to fraction form
    697,696/1,046,700 = 254,464/x
  3. Step 3: Cross multiply
    697,696x = 1,046,700 × 254,464
  4. Step 4: Simplify right side
    697,696x = 266,347,468,800
  5. Step 5: Solve for x
    x = 266,347,468,800/697,696
  6. Step 6: Final answer
    x = 381,752.90

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