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Finding the Fourth Proportional to 433,218.20, 650,146.59 and 205,514.54

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Solution

The fourth proportional to 433,218.20, 650,146.59 and 205,514.54 is: 308,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,218.20 : 650,146.59 = 205,514.54 : x
  2. Step 2: Convert to fraction form
    433,218.20/650,146.59 = 205,514.54/x
  3. Step 3: Cross multiply
    433,218.20x = 650,146.59 × 205,514.54
  4. Step 4: Simplify right side
    433,218.20x = 133,614,574,125.69
  5. Step 5: Solve for x
    x = 133,614,574,125.69/433,218.20
  6. Step 6: Final answer
    x = 308,423.27

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1.5x scale

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.