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Finding the Fourth Proportional to 809,046, 1,116,483.96 and 451,350

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Solution

The fourth proportional to 809,046, 1,116,483.96 and 451,350 is: 622,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,046 : 1,116,483.96 = 451,350 : x
  2. Step 2: Convert to fraction form
    809,046/1,116,483.96 = 451,350/x
  3. Step 3: Cross multiply
    809,046x = 1,116,483.96 × 451,350
  4. Step 4: Simplify right side
    809,046x = 503,925,035,346
  5. Step 5: Solve for x
    x = 503,925,035,346/809,046
  6. Step 6: Final answer
    x = 622,863.27

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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.