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Finding the Fourth Proportional to 320,956.56, 442,926.96 and 175,768.56

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Solution

The fourth proportional to 320,956.56, 442,926.96 and 175,768.56 is: 242,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,956.56 : 442,926.96 = 175,768.56 : x
  2. Step 2: Convert to fraction form
    320,956.56/442,926.96 = 175,768.56/x
  3. Step 3: Cross multiply
    320,956.56x = 442,926.96 × 175,768.56
  4. Step 4: Simplify right side
    320,956.56x = 77,852,633,944.38
  5. Step 5: Solve for x
    x = 77,852,633,944.38/320,956.56
  6. Step 6: Final answer
    x = 242,564.40

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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.