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Finding the Fourth Proportional to 406,224.46, 560,582.92 and 224,932.50

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Solution

The fourth proportional to 406,224.46, 560,582.92 and 224,932.50 is: 310,403.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,224.46 : 560,582.92 = 224,932.50 : x
  2. Step 2: Convert to fraction form
    406,224.46/560,582.92 = 224,932.50/x
  3. Step 3: Cross multiply
    406,224.46x = 560,582.92 × 224,932.50
  4. Step 4: Simplify right side
    406,224.46x = 126,093,317,652.90
  5. Step 5: Solve for x
    x = 126,093,317,652.90/406,224.46
  6. Step 6: Final answer
    x = 310,403.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.