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Finding the Fourth Proportional to 406,222.84, 560,580.69 and 224,930.87

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Solution

The fourth proportional to 406,222.84, 560,580.69 and 224,930.87 is: 310,400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,222.84 : 560,580.69 = 224,930.87 : x
  2. Step 2: Convert to fraction form
    406,222.84/560,580.69 = 224,930.87/x
  3. Step 3: Cross multiply
    406,222.84x = 560,580.69 × 224,930.87
  4. Step 4: Simplify right side
    406,222.84x = 126,091,900,762.68
  5. Step 5: Solve for x
    x = 126,091,900,762.68/406,222.84
  6. Step 6: Final answer
    x = 310,400.81

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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.