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Finding the Fourth Proportional to 496,505.35, 744,174.83 and 229,702.29

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Solution

The fourth proportional to 496,505.35, 744,174.83 and 229,702.29 is: 344,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,505.35 : 744,174.83 = 229,702.29 : x
  2. Step 2: Convert to fraction form
    496,505.35/744,174.83 = 229,702.29/x
  3. Step 3: Cross multiply
    496,505.35x = 744,174.83 × 229,702.29
  4. Step 4: Simplify right side
    496,505.35x = 170,938,657,741.98
  5. Step 5: Solve for x
    x = 170,938,657,741.98/496,505.35
  6. Step 6: Final answer
    x = 344,283.62

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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.