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Finding the Fourth Proportional to 537,266.30, 804,977.85 and 256,178.30

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Solution

The fourth proportional to 537,266.30, 804,977.85 and 256,178.30 is: 383,828.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,266.30 : 804,977.85 = 256,178.30 : x
  2. Step 2: Convert to fraction form
    537,266.30/804,977.85 = 256,178.30/x
  3. Step 3: Cross multiply
    537,266.30x = 804,977.85 × 256,178.30
  4. Step 4: Simplify right side
    537,266.30x = 206,217,857,150.66
  5. Step 5: Solve for x
    x = 206,217,857,150.66/537,266.30
  6. Step 6: Final answer
    x = 383,828.01

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1.5x scale

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.