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Finding the Fourth Proportional to 415,722.58, 573,698 and 224,735.96

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Solution

The fourth proportional to 415,722.58, 573,698 and 224,735.96 is: 310,136.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,722.58 : 573,698 = 224,735.96 : x
  2. Step 2: Convert to fraction form
    415,722.58/573,698 = 224,735.96/x
  3. Step 3: Cross multiply
    415,722.58x = 573,698 × 224,735.96
  4. Step 4: Simplify right side
    415,722.58x = 128,930,570,780.08
  5. Step 5: Solve for x
    x = 128,930,570,780.08/415,722.58
  6. Step 6: Final answer
    x = 310,136.08

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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.