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Finding the Fourth Proportional to 416,407.72, 624,609.96 and 100,864.12

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Solution

The fourth proportional to 416,407.72, 624,609.96 and 100,864.12 is: 151,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,407.72 : 624,609.96 = 100,864.12 : x
  2. Step 2: Convert to fraction form
    416,407.72/624,609.96 = 100,864.12/x
  3. Step 3: Cross multiply
    416,407.72x = 624,609.96 × 100,864.12
  4. Step 4: Simplify right side
    416,407.72x = 63,000,733,958.64
  5. Step 5: Solve for x
    x = 63,000,733,958.64/416,407.72
  6. Step 6: Final answer
    x = 151,295.79

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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.