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Finding the Fourth Proportional to 415,416.96, 623,217.60 and 193,680

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Solution

The fourth proportional to 415,416.96, 623,217.60 and 193,680 is: 290,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,416.96 : 623,217.60 = 193,680 : x
  2. Step 2: Convert to fraction form
    415,416.96/623,217.60 = 193,680/x
  3. Step 3: Cross multiply
    415,416.96x = 623,217.60 × 193,680
  4. Step 4: Simplify right side
    415,416.96x = 120,704,784,768
  5. Step 5: Solve for x
    x = 120,704,784,768/415,416.96
  6. Step 6: Final answer
    x = 290,562.97

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1.5x scale

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.