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Finding the Fourth Proportional to 309,712.84, 464,177.39 and 176,667.91

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Solution

The fourth proportional to 309,712.84, 464,177.39 and 176,667.91 is: 264,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,712.84 : 464,177.39 = 176,667.91 : x
  2. Step 2: Convert to fraction form
    309,712.84/464,177.39 = 176,667.91/x
  3. Step 3: Cross multiply
    309,712.84x = 464,177.39 × 176,667.91
  4. Step 4: Simplify right side
    309,712.84x = 82,005,247,316.77
  5. Step 5: Solve for x
    x = 82,005,247,316.77/309,712.84
  6. Step 6: Final answer
    x = 264,778.33

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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.