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Finding the Fourth Proportional to 295,267.40, 441,734.70 and 256,257.80

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Solution

The fourth proportional to 295,267.40, 441,734.70 and 256,257.80 is: 383,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,267.40 : 441,734.70 = 256,257.80 : x
  2. Step 2: Convert to fraction form
    295,267.40/441,734.70 = 256,257.80/x
  3. Step 3: Cross multiply
    295,267.40x = 441,734.70 × 256,257.80
  4. Step 4: Simplify right side
    295,267.40x = 113,197,962,405.66
  5. Step 5: Solve for x
    x = 113,197,962,405.66/295,267.40
  6. Step 6: Final answer
    x = 383,374.40

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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.