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Finding the Fourth Proportional to 457,205.60, 685,808.40 and 297,773.30

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Solution

The fourth proportional to 457,205.60, 685,808.40 and 297,773.30 is: 446,659.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,205.60 : 685,808.40 = 297,773.30 : x
  2. Step 2: Convert to fraction form
    457,205.60/685,808.40 = 297,773.30/x
  3. Step 3: Cross multiply
    457,205.60x = 685,808.40 × 297,773.30
  4. Step 4: Simplify right side
    457,205.60x = 204,215,430,435.72
  5. Step 5: Solve for x
    x = 204,215,430,435.72/457,205.60
  6. Step 6: Final answer
    x = 446,659.95

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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.