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Finding the Fourth Proportional to 582,221, 873,331.50 and 161,496.88

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Solution

The fourth proportional to 582,221, 873,331.50 and 161,496.88 is: 242,245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,221 : 873,331.50 = 161,496.88 : x
  2. Step 2: Convert to fraction form
    582,221/873,331.50 = 161,496.88/x
  3. Step 3: Cross multiply
    582,221x = 873,331.50 × 161,496.88
  4. Step 4: Simplify right side
    582,221x = 141,040,312,455.72
  5. Step 5: Solve for x
    x = 141,040,312,455.72/582,221
  6. Step 6: Final answer
    x = 242,245.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.