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Finding the Fourth Proportional to 319,744.80, 441,247.40 and 176,504.51

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Solution

The fourth proportional to 319,744.80, 441,247.40 and 176,504.51 is: 243,575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,744.80 : 441,247.40 = 176,504.51 : x
  2. Step 2: Convert to fraction form
    319,744.80/441,247.40 = 176,504.51/x
  3. Step 3: Cross multiply
    319,744.80x = 441,247.40 × 176,504.51
  4. Step 4: Simplify right side
    319,744.80x = 77,882,153,037.01
  5. Step 5: Solve for x
    x = 77,882,153,037.01/319,744.80
  6. Step 6: Final answer
    x = 243,575.98

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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.