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Finding the Fourth Proportional to 289,926.48, 400,097.64 and 162,604.80

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Solution

The fourth proportional to 289,926.48, 400,097.64 and 162,604.80 is: 224,394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,926.48 : 400,097.64 = 162,604.80 : x
  2. Step 2: Convert to fraction form
    289,926.48/400,097.64 = 162,604.80/x
  3. Step 3: Cross multiply
    289,926.48x = 400,097.64 × 162,604.80
  4. Step 4: Simplify right side
    289,926.48x = 65,057,796,732.67
  5. Step 5: Solve for x
    x = 65,057,796,732.67/289,926.48
  6. Step 6: Final answer
    x = 224,394.12

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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.