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Finding the Fourth Proportional to 577,854.12, 797,443.74 and 323,229

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Solution

The fourth proportional to 577,854.12, 797,443.74 and 323,229 is: 446,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,854.12 : 797,443.74 = 323,229 : x
  2. Step 2: Convert to fraction form
    577,854.12/797,443.74 = 323,229/x
  3. Step 3: Cross multiply
    577,854.12x = 797,443.74 × 323,229
  4. Step 4: Simplify right side
    577,854.12x = 257,756,942,636.46
  5. Step 5: Solve for x
    x = 257,756,942,636.46/577,854.12
  6. Step 6: Final answer
    x = 446,058.85

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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.