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Finding the Fourth Proportional to 537,024.80, 804,615.60 and 255,936.80

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Solution

The fourth proportional to 537,024.80, 804,615.60 and 255,936.80 is: 383,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,024.80 : 804,615.60 = 255,936.80 : x
  2. Step 2: Convert to fraction form
    537,024.80/804,615.60 = 255,936.80/x
  3. Step 3: Cross multiply
    537,024.80x = 804,615.60 × 255,936.80
  4. Step 4: Simplify right side
    537,024.80x = 205,930,741,894.08
  5. Step 5: Solve for x
    x = 205,930,741,894.08/537,024.80
  6. Step 6: Final answer
    x = 383,465.98

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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.