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Finding the Fourth Proportional to 415,898.10, 624,063.15 and 194,282.10

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Solution

The fourth proportional to 415,898.10, 624,063.15 and 194,282.10 is: 291,524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,898.10 : 624,063.15 = 194,282.10 : x
  2. Step 2: Convert to fraction form
    415,898.10/624,063.15 = 194,282.10/x
  3. Step 3: Cross multiply
    415,898.10x = 624,063.15 × 194,282.10
  4. Step 4: Simplify right side
    415,898.10x = 121,244,299,314.62
  5. Step 5: Solve for x
    x = 121,244,299,314.62/415,898.10
  6. Step 6: Final answer
    x = 291,524.05

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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.