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Finding the Fourth Proportional to 415,898.60, 624,063.90 and 194,282.60

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Solution

The fourth proportional to 415,898.60, 624,063.90 and 194,282.60 is: 291,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,898.60 : 624,063.90 = 194,282.60 : x
  2. Step 2: Convert to fraction form
    415,898.60/624,063.90 = 194,282.60/x
  3. Step 3: Cross multiply
    415,898.60x = 624,063.90 × 194,282.60
  4. Step 4: Simplify right side
    415,898.60x = 121,244,757,058.14
  5. Step 5: Solve for x
    x = 121,244,757,058.14/415,898.60
  6. Step 6: Final answer
    x = 291,524.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.