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Finding the Fourth Proportional to 319,643.82, 441,082.80 and 176,384.52

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Solution

The fourth proportional to 319,643.82, 441,082.80 and 176,384.52 is: 243,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,643.82 : 441,082.80 = 176,384.52 : x
  2. Step 2: Convert to fraction form
    319,643.82/441,082.80 = 176,384.52/x
  3. Step 3: Cross multiply
    319,643.82x = 441,082.80 × 176,384.52
  4. Step 4: Simplify right side
    319,643.82x = 77,800,177,958.26
  5. Step 5: Solve for x
    x = 77,800,177,958.26/319,643.82
  6. Step 6: Final answer
    x = 243,396.47

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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.