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Finding the Fourth Proportional to 504,449.57, 695,746.77 and 323,178.39

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Solution

The fourth proportional to 504,449.57, 695,746.77 and 323,178.39 is: 445,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,449.57 : 695,746.77 = 323,178.39 : x
  2. Step 2: Convert to fraction form
    504,449.57/695,746.77 = 323,178.39/x
  3. Step 3: Cross multiply
    504,449.57x = 695,746.77 × 323,178.39
  4. Step 4: Simplify right side
    504,449.57x = 224,850,319,764.38
  5. Step 5: Solve for x
    x = 224,850,319,764.38/504,449.57
  6. Step 6: Final answer
    x = 445,733.99

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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.