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Finding the Fourth Proportional to 439,771.40, 659,657.10 and 413,527.40

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Solution

The fourth proportional to 439,771.40, 659,657.10 and 413,527.40 is: 620,291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,771.40 : 659,657.10 = 413,527.40 : x
  2. Step 2: Convert to fraction form
    439,771.40/659,657.10 = 413,527.40/x
  3. Step 3: Cross multiply
    439,771.40x = 659,657.10 × 413,527.40
  4. Step 4: Simplify right side
    439,771.40x = 272,786,285,454.54
  5. Step 5: Solve for x
    x = 272,786,285,454.54/439,771.40
  6. Step 6: Final answer
    x = 620,291.10

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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.