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Finding the Fourth Proportional to 922,266, 1,383,603.39 and 282,658.14

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Solution

The fourth proportional to 922,266, 1,383,603.39 and 282,658.14 is: 424,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,266 : 1,383,603.39 = 282,658.14 : x
  2. Step 2: Convert to fraction form
    922,266/1,383,603.39 = 282,658.14/x
  3. Step 3: Cross multiply
    922,266x = 1,383,603.39 × 282,658.14
  4. Step 4: Simplify right side
    922,266x = 391,086,760,715.10
  5. Step 5: Solve for x
    x = 391,086,760,715.10/922,266
  6. Step 6: Final answer
    x = 424,049.85

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Why These Related Problems?

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