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Finding the Fourth Proportional to 319,123, 478,766.52 and 119,446.26

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Solution

The fourth proportional to 319,123, 478,766.52 and 119,446.26 is: 179,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,123 : 478,766.52 = 119,446.26 : x
  2. Step 2: Convert to fraction form
    319,123/478,766.52 = 119,446.26/x
  3. Step 3: Cross multiply
    319,123x = 478,766.52 × 119,446.26
  4. Step 4: Simplify right side
    319,123x = 57,186,870,227.22
  5. Step 5: Solve for x
    x = 57,186,870,227.22/319,123
  6. Step 6: Final answer
    x = 179,200.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.