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Finding the Fourth Proportional to 406,516.58, 560,985.60 and 225,224.87

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Solution

The fourth proportional to 406,516.58, 560,985.60 and 225,224.87 is: 310,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,516.58 : 560,985.60 = 225,224.87 : x
  2. Step 2: Convert to fraction form
    406,516.58/560,985.60 = 225,224.87/x
  3. Step 3: Cross multiply
    406,516.58x = 560,985.60 × 225,224.87
  4. Step 4: Simplify right side
    406,516.58x = 126,347,910,234.34
  5. Step 5: Solve for x
    x = 126,347,910,234.34/406,516.58
  6. Step 6: Final answer
    x = 310,806.29

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1.5x scale

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.