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Finding the Fourth Proportional to 548,695.82, 757,459.11 and 412,781.64

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Solution

The fourth proportional to 548,695.82, 757,459.11 and 412,781.64 is: 569,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,695.82 : 757,459.11 = 412,781.64 : x
  2. Step 2: Convert to fraction form
    548,695.82/757,459.11 = 412,781.64/x
  3. Step 3: Cross multiply
    548,695.82x = 757,459.11 × 412,781.64
  4. Step 4: Simplify right side
    548,695.82x = 312,665,212,366.20
  5. Step 5: Solve for x
    x = 312,665,212,366.20/548,695.82
  6. Step 6: Final answer
    x = 569,833.41

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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.