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Finding the Fourth Proportional to 461,702.72, 693,605.01 and 334,012.86

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Solution

The fourth proportional to 461,702.72, 693,605.01 and 334,012.86 is: 501,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,702.72 : 693,605.01 = 334,012.86 : x
  2. Step 2: Convert to fraction form
    461,702.72/693,605.01 = 334,012.86/x
  3. Step 3: Cross multiply
    461,702.72x = 693,605.01 × 334,012.86
  4. Step 4: Simplify right side
    461,702.72x = 231,672,993,100.43
  5. Step 5: Solve for x
    x = 231,672,993,100.43/461,702.72
  6. Step 6: Final answer
    x = 501,779.57

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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.