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Finding the Fourth Proportional to 270,947.44, 406,683.56 and 130,804.48

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Solution

The fourth proportional to 270,947.44, 406,683.56 and 130,804.48 is: 196,333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,947.44 : 406,683.56 = 130,804.48 : x
  2. Step 2: Convert to fraction form
    270,947.44/406,683.56 = 130,804.48/x
  3. Step 3: Cross multiply
    270,947.44x = 406,683.56 × 130,804.48
  4. Step 4: Simplify right side
    270,947.44x = 53,196,031,590.35
  5. Step 5: Solve for x
    x = 53,196,031,590.35/270,947.44
  6. Step 6: Final answer
    x = 196,333.40

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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.