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Finding the Fourth Proportional to 577,864.40, 797,409.56 and 323,166.38

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Solution

The fourth proportional to 577,864.40, 797,409.56 and 323,166.38 is: 445,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,864.40 : 797,409.56 = 323,166.38 : x
  2. Step 2: Convert to fraction form
    577,864.40/797,409.56 = 323,166.38/x
  3. Step 3: Cross multiply
    577,864.40x = 797,409.56 × 323,166.38
  4. Step 4: Simplify right side
    577,864.40x = 257,695,957,703.46
  5. Step 5: Solve for x
    x = 257,695,957,703.46/577,864.40
  6. Step 6: Final answer
    x = 445,945.38

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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.