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Finding the Fourth Proportional to 824,841.92, 1,138,284 and 467,145.92

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Solution

The fourth proportional to 824,841.92, 1,138,284 and 467,145.92 is: 644,662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,841.92 : 1,138,284 = 467,145.92 : x
  2. Step 2: Convert to fraction form
    824,841.92/1,138,284 = 467,145.92/x
  3. Step 3: Cross multiply
    824,841.92x = 1,138,284 × 467,145.92
  4. Step 4: Simplify right side
    824,841.92x = 531,744,726,401.28
  5. Step 5: Solve for x
    x = 531,744,726,401.28/824,841.92
  6. Step 6: Final answer
    x = 644,662.59

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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.