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Finding the Fourth Proportional to 300,825.92, 451,097.28 and 174,502.08

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Solution

The fourth proportional to 300,825.92, 451,097.28 and 174,502.08 is: 261,670.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,825.92 : 451,097.28 = 174,502.08 : x
  2. Step 2: Convert to fraction form
    300,825.92/451,097.28 = 174,502.08/x
  3. Step 3: Cross multiply
    300,825.92x = 451,097.28 × 174,502.08
  4. Step 4: Simplify right side
    300,825.92x = 78,717,413,642.34
  5. Step 5: Solve for x
    x = 78,717,413,642.34/300,825.92
  6. Step 6: Final answer
    x = 261,670.98

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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.