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Finding the Fourth Proportional to 577,824.74, 797,393.82 and 323,175.93

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Solution

The fourth proportional to 577,824.74, 797,393.82 and 323,175.93 is: 445,980.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,824.74 : 797,393.82 = 323,175.93 : x
  2. Step 2: Convert to fraction form
    577,824.74/797,393.82 = 323,175.93/x
  3. Step 3: Cross multiply
    577,824.74x = 797,393.82 × 323,175.93
  4. Step 4: Simplify right side
    577,824.74x = 257,698,485,758.57
  5. Step 5: Solve for x
    x = 257,698,485,758.57/577,824.74
  6. Step 6: Final answer
    x = 445,980.36

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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.