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Finding the Fourth Proportional to 519,478.76, 779,296.05 and 182,460

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Solution

The fourth proportional to 519,478.76, 779,296.05 and 182,460 is: 273,717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,478.76 : 779,296.05 = 182,460 : x
  2. Step 2: Convert to fraction form
    519,478.76/779,296.05 = 182,460/x
  3. Step 3: Cross multiply
    519,478.76x = 779,296.05 × 182,460
  4. Step 4: Simplify right side
    519,478.76x = 142,190,357,283
  5. Step 5: Solve for x
    x = 142,190,357,283/519,478.76
  6. Step 6: Final answer
    x = 273,717.37

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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.