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Finding the Fourth Proportional to 577,938.24, 797,585.76 and 323,274.24

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Solution

The fourth proportional to 577,938.24, 797,585.76 and 323,274.24 is: 446,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,938.24 : 797,585.76 = 323,274.24 : x
  2. Step 2: Convert to fraction form
    577,938.24/797,585.76 = 323,274.24/x
  3. Step 3: Cross multiply
    577,938.24x = 797,585.76 × 323,274.24
  4. Step 4: Simplify right side
    577,938.24x = 257,838,930,398.82
  5. Step 5: Solve for x
    x = 257,838,930,398.82/577,938.24
  6. Step 6: Final answer
    x = 446,135.79

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1.5x scale

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.