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Finding the Fourth Proportional to 319,708.90, 441,198.32 and 176,468.98

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Solution

The fourth proportional to 319,708.90, 441,198.32 and 176,468.98 is: 243,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,708.90 : 441,198.32 = 176,468.98 : x
  2. Step 2: Convert to fraction form
    319,708.90/441,198.32 = 176,468.98/x
  3. Step 3: Cross multiply
    319,708.90x = 441,198.32 × 176,468.98
  4. Step 4: Simplify right side
    319,708.90x = 77,857,816,846.34
  5. Step 5: Solve for x
    x = 77,857,816,846.34/319,708.90
  6. Step 6: Final answer
    x = 243,527.21

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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.