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Finding the Fourth Proportional to 416,043.82, 624,496.47 and 256,234.87

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Solution

The fourth proportional to 416,043.82, 624,496.47 and 256,234.87 is: 384,617.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,043.82 : 624,496.47 = 256,234.87 : x
  2. Step 2: Convert to fraction form
    416,043.82/624,496.47 = 256,234.87/x
  3. Step 3: Cross multiply
    416,043.82x = 624,496.47 × 256,234.87
  4. Step 4: Simplify right side
    416,043.82x = 160,017,771,805.91
  5. Step 5: Solve for x
    x = 160,017,771,805.91/416,043.82
  6. Step 6: Final answer
    x = 384,617.59

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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.