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Finding the Fourth Proportional to 502,225.26, 692,814.87 and 320,746.38

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Solution

The fourth proportional to 502,225.26, 692,814.87 and 320,746.38 is: 442,466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,225.26 : 692,814.87 = 320,746.38 : x
  2. Step 2: Convert to fraction form
    502,225.26/692,814.87 = 320,746.38/x
  3. Step 3: Cross multiply
    502,225.26x = 692,814.87 × 320,746.38
  4. Step 4: Simplify right side
    502,225.26x = 222,217,861,562.67
  5. Step 5: Solve for x
    x = 222,217,861,562.67/502,225.26
  6. Step 6: Final answer
    x = 442,466.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.