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Finding the Fourth Proportional to 577,823.40, 797,391.72 and 323,174.40

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Solution

The fourth proportional to 577,823.40, 797,391.72 and 323,174.40 is: 445,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,823.40 : 797,391.72 = 323,174.40 : x
  2. Step 2: Convert to fraction form
    577,823.40/797,391.72 = 323,174.40/x
  3. Step 3: Cross multiply
    577,823.40x = 797,391.72 × 323,174.40
  4. Step 4: Simplify right side
    577,823.40x = 257,696,590,675.97
  5. Step 5: Solve for x
    x = 257,696,590,675.97/577,823.40
  6. Step 6: Final answer
    x = 445,978.11

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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.