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Finding the Fourth Proportional to 519,741.44, 779,709.32 and 164,660.12

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Solution

The fourth proportional to 519,741.44, 779,709.32 and 164,660.12 is: 247,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,741.44 : 779,709.32 = 164,660.12 : x
  2. Step 2: Convert to fraction form
    519,741.44/779,709.32 = 164,660.12/x
  3. Step 3: Cross multiply
    519,741.44x = 779,709.32 × 164,660.12
  4. Step 4: Simplify right side
    519,741.44x = 128,387,030,196.32
  5. Step 5: Solve for x
    x = 128,387,030,196.32/519,741.44
  6. Step 6: Final answer
    x = 247,020.96

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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.