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Finding the Fourth Proportional to 461,678.92, 637,133.46 and 268,072.12

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Solution

The fourth proportional to 461,678.92, 637,133.46 and 268,072.12 is: 369,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,678.92 : 637,133.46 = 268,072.12 : x
  2. Step 2: Convert to fraction form
    461,678.92/637,133.46 = 268,072.12/x
  3. Step 3: Cross multiply
    461,678.92x = 637,133.46 × 268,072.12
  4. Step 4: Simplify right side
    461,678.92x = 170,797,717,345.14
  5. Step 5: Solve for x
    x = 170,797,717,345.14/461,678.92
  6. Step 6: Final answer
    x = 369,949.14

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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.