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Finding the Fourth Proportional to 413,953.68, 571,261.16 and 232,655

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Solution

The fourth proportional to 413,953.68, 571,261.16 and 232,655 is: 321,066.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,953.68 : 571,261.16 = 232,655 : x
  2. Step 2: Convert to fraction form
    413,953.68/571,261.16 = 232,655/x
  3. Step 3: Cross multiply
    413,953.68x = 571,261.16 × 232,655
  4. Step 4: Simplify right side
    413,953.68x = 132,906,765,179.80
  5. Step 5: Solve for x
    x = 132,906,765,179.80/413,953.68
  6. Step 6: Final answer
    x = 321,066.76

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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.