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Finding the Fourth Proportional to 406,197.23, 560,583.72 and 224,926.02

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Solution

The fourth proportional to 406,197.23, 560,583.72 and 224,926.02 is: 310,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,197.23 : 560,583.72 = 224,926.02 : x
  2. Step 2: Convert to fraction form
    406,197.23/560,583.72 = 224,926.02/x
  3. Step 3: Cross multiply
    406,197.23x = 560,583.72 × 224,926.02
  4. Step 4: Simplify right side
    406,197.23x = 126,089,865,016.39
  5. Step 5: Solve for x
    x = 126,089,865,016.39/406,197.23
  6. Step 6: Final answer
    x = 310,415.38

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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.