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Finding the Fourth Proportional to 406,112.76, 560,494.26 and 233,997.76

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Solution

The fourth proportional to 406,112.76, 560,494.26 and 233,997.76 is: 322,950.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,112.76 : 560,494.26 = 233,997.76 : x
  2. Step 2: Convert to fraction form
    406,112.76/560,494.26 = 233,997.76/x
  3. Step 3: Cross multiply
    406,112.76x = 560,494.26 × 233,997.76
  4. Step 4: Simplify right side
    406,112.76x = 131,154,401,375.36
  5. Step 5: Solve for x
    x = 131,154,401,375.36/406,112.76
  6. Step 6: Final answer
    x = 322,950.70

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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.