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Finding the Fourth Proportional to 577,939.24, 797,587.14 and 323,275.24

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Solution

The fourth proportional to 577,939.24, 797,587.14 and 323,275.24 is: 446,137.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,939.24 : 797,587.14 = 323,275.24 : x
  2. Step 2: Convert to fraction form
    577,939.24/797,587.14 = 323,275.24/x
  3. Step 3: Cross multiply
    577,939.24x = 797,587.14 × 323,275.24
  4. Step 4: Simplify right side
    577,939.24x = 257,840,174,104.41
  5. Step 5: Solve for x
    x = 257,840,174,104.41/577,939.24
  6. Step 6: Final answer
    x = 446,137.17

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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.