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Finding the Fourth Proportional to 557,286.40, 769,230.08 and 356,083.20

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Solution

The fourth proportional to 557,286.40, 769,230.08 and 356,083.20 is: 491,506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,286.40 : 769,230.08 = 356,083.20 : x
  2. Step 2: Convert to fraction form
    557,286.40/769,230.08 = 356,083.20/x
  3. Step 3: Cross multiply
    557,286.40x = 769,230.08 × 356,083.20
  4. Step 4: Simplify right side
    557,286.40x = 273,909,908,422.66
  5. Step 5: Solve for x
    x = 273,909,908,422.66/557,286.40
  6. Step 6: Final answer
    x = 491,506.54

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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.