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Finding the Fourth Proportional to 356,107.85, 491,430.27 and 194,977.89

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Solution

The fourth proportional to 356,107.85, 491,430.27 and 194,977.89 is: 269,070.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,107.85 : 491,430.27 = 194,977.89 : x
  2. Step 2: Convert to fraction form
    356,107.85/491,430.27 = 194,977.89/x
  3. Step 3: Cross multiply
    356,107.85x = 491,430.27 × 194,977.89
  4. Step 4: Simplify right side
    356,107.85x = 95,818,037,126.73
  5. Step 5: Solve for x
    x = 95,818,037,126.73/356,107.85
  6. Step 6: Final answer
    x = 269,070.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.