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Finding the Fourth Proportional to 400,975.44, 553,337.64 and 219,678.54

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Solution

The fourth proportional to 400,975.44, 553,337.64 and 219,678.54 is: 303,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,975.44 : 553,337.64 = 219,678.54 : x
  2. Step 2: Convert to fraction form
    400,975.44/553,337.64 = 219,678.54/x
  3. Step 3: Cross multiply
    400,975.44x = 553,337.64 × 219,678.54
  4. Step 4: Simplify right side
    400,975.44x = 121,556,404,882.25
  5. Step 5: Solve for x
    x = 121,556,404,882.25/400,975.44
  6. Step 6: Final answer
    x = 303,151.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.