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Finding the Fourth Proportional to 406,225.46, 560,584.30 and 224,933.50

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Solution

The fourth proportional to 406,225.46, 560,584.30 and 224,933.50 is: 310,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,225.46 : 560,584.30 = 224,933.50 : x
  2. Step 2: Convert to fraction form
    406,225.46/560,584.30 = 224,933.50/x
  3. Step 3: Cross multiply
    406,225.46x = 560,584.30 × 224,933.50
  4. Step 4: Simplify right side
    406,225.46x = 126,094,188,644.05
  5. Step 5: Solve for x
    x = 126,094,188,644.05/406,225.46
  6. Step 6: Final answer
    x = 310,404.45

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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.