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Finding the Fourth Proportional to 537,370.56, 804,830.40 and 257,086.08

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Solution

The fourth proportional to 537,370.56, 804,830.40 and 257,086.08 is: 385,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,370.56 : 804,830.40 = 257,086.08 : x
  2. Step 2: Convert to fraction form
    537,370.56/804,830.40 = 257,086.08/x
  3. Step 3: Cross multiply
    537,370.56x = 804,830.40 × 257,086.08
  4. Step 4: Simplify right side
    537,370.56x = 206,910,692,600.83
  5. Step 5: Solve for x
    x = 206,910,692,600.83/537,370.56
  6. Step 6: Final answer
    x = 385,042.85

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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.