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Finding the Fourth Proportional to 504,465.82, 695,769.17 and 323,194.61

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Solution

The fourth proportional to 504,465.82, 695,769.17 and 323,194.61 is: 445,756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,465.82 : 695,769.17 = 323,194.61 : x
  2. Step 2: Convert to fraction form
    504,465.82/695,769.17 = 323,194.61/x
  3. Step 3: Cross multiply
    504,465.82x = 695,769.17 × 323,194.61
  4. Step 4: Simplify right side
    504,465.82x = 224,868,845,548.17
  5. Step 5: Solve for x
    x = 224,868,845,548.17/504,465.82
  6. Step 6: Final answer
    x = 445,756.36

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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.