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Finding the Fourth Proportional to 537,265.80, 804,977.10 and 256,177.80

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Solution

The fourth proportional to 537,265.80, 804,977.10 and 256,177.80 is: 383,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,265.80 : 804,977.10 = 256,177.80 : x
  2. Step 2: Convert to fraction form
    537,265.80/804,977.10 = 256,177.80/x
  3. Step 3: Cross multiply
    537,265.80x = 804,977.10 × 256,177.80
  4. Step 4: Simplify right side
    537,265.80x = 206,217,262,528.38
  5. Step 5: Solve for x
    x = 206,217,262,528.38/537,265.80
  6. Step 6: Final answer
    x = 383,827.26

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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.