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Finding the Fourth Proportional to 406,077.36, 560,379.97 and 224,785.45

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Solution

The fourth proportional to 406,077.36, 560,379.97 and 224,785.45 is: 310,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,077.36 : 560,379.97 = 224,785.45 : x
  2. Step 2: Convert to fraction form
    406,077.36/560,379.97 = 224,785.45/x
  3. Step 3: Cross multiply
    406,077.36x = 560,379.97 × 224,785.45
  4. Step 4: Simplify right side
    406,077.36x = 125,965,263,727.44
  5. Step 5: Solve for x
    x = 125,965,263,727.44/406,077.36
  6. Step 6: Final answer
    x = 310,200.16

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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.