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Finding the Fourth Proportional to 418,021.21, 577,045.41 and 282,238.88

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Solution

The fourth proportional to 418,021.21, 577,045.41 and 282,238.88 is: 389,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,021.21 : 577,045.41 = 282,238.88 : x
  2. Step 2: Convert to fraction form
    418,021.21/577,045.41 = 282,238.88/x
  3. Step 3: Cross multiply
    418,021.21x = 577,045.41 × 282,238.88
  4. Step 4: Simplify right side
    418,021.21x = 162,864,650,227.54
  5. Step 5: Solve for x
    x = 162,864,650,227.54/418,021.21
  6. Step 6: Final answer
    x = 389,608.58

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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.