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Finding the Fourth Proportional to 541,365, 747,005.51 and 299,646.99

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Solution

The fourth proportional to 541,365, 747,005.51 and 299,646.99 is: 413,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,365 : 747,005.51 = 299,646.99 : x
  2. Step 2: Convert to fraction form
    541,365/747,005.51 = 299,646.99/x
  3. Step 3: Cross multiply
    541,365x = 747,005.51 × 299,646.99
  4. Step 4: Simplify right side
    541,365x = 223,837,951,086.68
  5. Step 5: Solve for x
    x = 223,837,951,086.68/541,365
  6. Step 6: Final answer
    x = 413,469.57

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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.