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Finding the Fourth Proportional to 439,672.80, 659,509.20 and 273,784.80

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Solution

The fourth proportional to 439,672.80, 659,509.20 and 273,784.80 is: 410,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,672.80 : 659,509.20 = 273,784.80 : x
  2. Step 2: Convert to fraction form
    439,672.80/659,509.20 = 273,784.80/x
  3. Step 3: Cross multiply
    439,672.80x = 659,509.20 × 273,784.80
  4. Step 4: Simplify right side
    439,672.80x = 180,563,594,420.16
  5. Step 5: Solve for x
    x = 180,563,594,420.16/439,672.80
  6. Step 6: Final answer
    x = 410,677.20

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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.