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Finding the Fourth Proportional to 319,709.40, 441,199.01 and 176,469.48

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Solution

The fourth proportional to 319,709.40, 441,199.01 and 176,469.48 is: 243,527.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,709.40 : 441,199.01 = 176,469.48 : x
  2. Step 2: Convert to fraction form
    319,709.40/441,199.01 = 176,469.48/x
  3. Step 3: Cross multiply
    319,709.40x = 441,199.01 × 176,469.48
  4. Step 4: Simplify right side
    319,709.40x = 77,858,159,871.21
  5. Step 5: Solve for x
    x = 77,858,159,871.21/319,709.40
  6. Step 6: Final answer
    x = 243,527.90

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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.