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Finding the Fourth Proportional to 358,821.86, 538,045.88 and 169,231.30

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Solution

The fourth proportional to 358,821.86, 538,045.88 and 169,231.30 is: 253,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,821.86 : 538,045.88 = 169,231.30 : x
  2. Step 2: Convert to fraction form
    358,821.86/538,045.88 = 169,231.30/x
  3. Step 3: Cross multiply
    358,821.86x = 538,045.88 × 169,231.30
  4. Step 4: Simplify right side
    358,821.86x = 91,054,203,732.04
  5. Step 5: Solve for x
    x = 91,054,203,732.04/358,821.86
  6. Step 6: Final answer
    x = 253,758.80

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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.