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Finding the Fourth Proportional to 383,347.38, 529,023.01 and 211,271.56

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Solution

The fourth proportional to 383,347.38, 529,023.01 and 211,271.56 is: 291,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,347.38 : 529,023.01 = 211,271.56 : x
  2. Step 2: Convert to fraction form
    383,347.38/529,023.01 = 211,271.56/x
  3. Step 3: Cross multiply
    383,347.38x = 529,023.01 × 211,271.56
  4. Step 4: Simplify right side
    383,347.38x = 111,767,514,549.79
  5. Step 5: Solve for x
    x = 111,767,514,549.79/383,347.38
  6. Step 6: Final answer
    x = 291,556.74

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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.