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Finding the Fourth Proportional to 406,244.96, 560,611.17 and 224,953.01

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Solution

The fourth proportional to 406,244.96, 560,611.17 and 224,953.01 is: 310,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,244.96 : 560,611.17 = 224,953.01 : x
  2. Step 2: Convert to fraction form
    406,244.96/560,611.17 = 224,953.01/x
  3. Step 3: Cross multiply
    406,244.96x = 560,611.17 × 224,953.01
  4. Step 4: Simplify right side
    406,244.96x = 126,111,171,532.65
  5. Step 5: Solve for x
    x = 126,111,171,532.65/406,244.96
  6. Step 6: Final answer
    x = 310,431.35

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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.