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Finding the Fourth Proportional to 406,241.95, 560,613.53 and 224,953.87

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Solution

The fourth proportional to 406,241.95, 560,613.53 and 224,953.87 is: 310,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,241.95 : 560,613.53 = 224,953.87 : x
  2. Step 2: Convert to fraction form
    406,241.95/560,613.53 = 224,953.87/x
  3. Step 3: Cross multiply
    406,241.95x = 560,613.53 × 224,953.87
  4. Step 4: Simplify right side
    406,241.95x = 126,112,183,147.86
  5. Step 5: Solve for x
    x = 126,112,183,147.86/406,241.95
  6. Step 6: Final answer
    x = 310,436.14

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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.