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Finding the Fourth Proportional to 504,473.25, 695,779.25 and 323,202

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Solution

The fourth proportional to 504,473.25, 695,779.25 and 323,202 is: 445,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,473.25 : 695,779.25 = 323,202 : x
  2. Step 2: Convert to fraction form
    504,473.25/695,779.25 = 323,202/x
  3. Step 3: Cross multiply
    504,473.25x = 695,779.25 × 323,202
  4. Step 4: Simplify right side
    504,473.25x = 224,877,243,542.49
  5. Step 5: Solve for x
    x = 224,877,243,542.49/504,473.25
  6. Step 6: Final answer
    x = 445,766.44

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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.