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Finding the Fourth Proportional to 319,064.43, 478,782.69 and 119,524.98

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Solution

The fourth proportional to 319,064.43, 478,782.69 and 119,524.98 is: 179,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,064.43 : 478,782.69 = 119,524.98 : x
  2. Step 2: Convert to fraction form
    319,064.43/478,782.69 = 119,524.98/x
  3. Step 3: Cross multiply
    319,064.43x = 478,782.69 × 119,524.98
  4. Step 4: Simplify right side
    319,064.43x = 57,226,491,446.60
  5. Step 5: Solve for x
    x = 57,226,491,446.60/319,064.43
  6. Step 6: Final answer
    x = 179,357.16

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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.