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Finding the Fourth Proportional to 519,328.44, 778,914.66 and 164,296.32

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Solution

The fourth proportional to 519,328.44, 778,914.66 and 164,296.32 is: 246,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,328.44 : 778,914.66 = 164,296.32 : x
  2. Step 2: Convert to fraction form
    519,328.44/778,914.66 = 164,296.32/x
  3. Step 3: Cross multiply
    519,328.44x = 778,914.66 × 164,296.32
  4. Step 4: Simplify right side
    519,328.44x = 127,972,812,232.05
  5. Step 5: Solve for x
    x = 127,972,812,232.05/519,328.44
  6. Step 6: Final answer
    x = 246,419.80

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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.