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Finding the Fourth Proportional to 457,310.10, 685,965.15 and 297,877.80

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Solution

The fourth proportional to 457,310.10, 685,965.15 and 297,877.80 is: 446,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,310.10 : 685,965.15 = 297,877.80 : x
  2. Step 2: Convert to fraction form
    457,310.10/685,965.15 = 297,877.80/x
  3. Step 3: Cross multiply
    457,310.10x = 685,965.15 × 297,877.80
  4. Step 4: Simplify right side
    457,310.10x = 204,333,789,758.67
  5. Step 5: Solve for x
    x = 204,333,789,758.67/457,310.10
  6. Step 6: Final answer
    x = 446,816.70

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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.