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Finding the Fourth Proportional to 536,764.80, 804,225.60 and 255,676.80

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Solution

The fourth proportional to 536,764.80, 804,225.60 and 255,676.80 is: 383,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,764.80 : 804,225.60 = 255,676.80 : x
  2. Step 2: Convert to fraction form
    536,764.80/804,225.60 = 255,676.80/x
  3. Step 3: Cross multiply
    536,764.80x = 804,225.60 × 255,676.80
  4. Step 4: Simplify right side
    536,764.80x = 205,621,827,886.08
  5. Step 5: Solve for x
    x = 205,621,827,886.08/536,764.80
  6. Step 6: Final answer
    x = 383,076.21

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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.