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Finding the Fourth Proportional to 289,972.17, 399,252.24 and 263,400.12

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Solution

The fourth proportional to 289,972.17, 399,252.24 and 263,400.12 is: 362,666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,972.17 : 399,252.24 = 263,400.12 : x
  2. Step 2: Convert to fraction form
    289,972.17/399,252.24 = 263,400.12/x
  3. Step 3: Cross multiply
    289,972.17x = 399,252.24 × 263,400.12
  4. Step 4: Simplify right side
    289,972.17x = 105,163,087,926.27
  5. Step 5: Solve for x
    x = 105,163,087,926.27/289,972.17
  6. Step 6: Final answer
    x = 362,666.14

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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.