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Finding the Fourth Proportional to 270,151.94, 404,865.69 and 210,252.75

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Solution

The fourth proportional to 270,151.94, 404,865.69 and 210,252.75 is: 315,097.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,151.94 : 404,865.69 = 210,252.75 : x
  2. Step 2: Convert to fraction form
    270,151.94/404,865.69 = 210,252.75/x
  3. Step 3: Cross multiply
    270,151.94x = 404,865.69 × 210,252.75
  4. Step 4: Simplify right side
    270,151.94x = 85,124,122,678.82
  5. Step 5: Solve for x
    x = 85,124,122,678.82/270,151.94
  6. Step 6: Final answer
    x = 315,097.21

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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.