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Finding the Fourth Proportional to 415,847.86, 573,869.63 and 224,860.79

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Solution

The fourth proportional to 415,847.86, 573,869.63 and 224,860.79 is: 310,307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,847.86 : 573,869.63 = 224,860.79 : x
  2. Step 2: Convert to fraction form
    415,847.86/573,869.63 = 224,860.79/x
  3. Step 3: Cross multiply
    415,847.86x = 573,869.63 × 224,860.79
  4. Step 4: Simplify right side
    415,847.86x = 129,040,780,355.63
  5. Step 5: Solve for x
    x = 129,040,780,355.63/415,847.86
  6. Step 6: Final answer
    x = 310,307.67

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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.