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Finding the Fourth Proportional to 406,424.01, 560,865.06 and 225,147.68

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Solution

The fourth proportional to 406,424.01, 560,865.06 and 225,147.68 is: 310,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,424.01 : 560,865.06 = 225,147.68 : x
  2. Step 2: Convert to fraction form
    406,424.01/560,865.06 = 225,147.68/x
  3. Step 3: Cross multiply
    406,424.01x = 560,865.06 × 225,147.68
  4. Step 4: Simplify right side
    406,424.01x = 126,277,464,247.74
  5. Step 5: Solve for x
    x = 126,277,464,247.74/406,424.01
  6. Step 6: Final answer
    x = 310,703.75

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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.