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Finding the Fourth Proportional to 328,461.66, 491,732.91 and 296,944.56

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Solution

The fourth proportional to 328,461.66, 491,732.91 and 296,944.56 is: 444,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,461.66 : 491,732.91 = 296,944.56 : x
  2. Step 2: Convert to fraction form
    328,461.66/491,732.91 = 296,944.56/x
  3. Step 3: Cross multiply
    328,461.66x = 491,732.91 × 296,944.56
  4. Step 4: Simplify right side
    328,461.66x = 146,017,412,597.47
  5. Step 5: Solve for x
    x = 146,017,412,597.47/328,461.66
  6. Step 6: Final answer
    x = 444,549.34

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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.