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Finding the Fourth Proportional to 505,856.88, 698,407.92 and 324,646.92

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Solution

The fourth proportional to 505,856.88, 698,407.92 and 324,646.92 is: 448,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,856.88 : 698,407.92 = 324,646.92 : x
  2. Step 2: Convert to fraction form
    505,856.88/698,407.92 = 324,646.92/x
  3. Step 3: Cross multiply
    505,856.88x = 698,407.92 × 324,646.92
  4. Step 4: Simplify right side
    505,856.88x = 226,735,980,131.61
  5. Step 5: Solve for x
    x = 226,735,980,131.61/505,856.88
  6. Step 6: Final answer
    x = 448,221.60

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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.