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Finding the Fourth Proportional to 450,122.69, 674,434.37 and 316,722.69

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Solution

The fourth proportional to 450,122.69, 674,434.37 and 316,722.69 is: 474,556.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,122.69 : 674,434.37 = 316,722.69 : x
  2. Step 2: Convert to fraction form
    450,122.69/674,434.37 = 316,722.69/x
  3. Step 3: Cross multiply
    450,122.69x = 674,434.37 × 316,722.69
  4. Step 4: Simplify right side
    450,122.69x = 213,608,666,905.10
  5. Step 5: Solve for x
    x = 213,608,666,905.10/450,122.69
  6. Step 6: Final answer
    x = 474,556.54

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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.