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Finding the Fourth Proportional to 624,843.84, 862,284.96 and 338,364.24

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Solution

The fourth proportional to 624,843.84, 862,284.96 and 338,364.24 is: 466,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,843.84 : 862,284.96 = 338,364.24 : x
  2. Step 2: Convert to fraction form
    624,843.84/862,284.96 = 338,364.24/x
  3. Step 3: Cross multiply
    624,843.84x = 862,284.96 × 338,364.24
  4. Step 4: Simplify right side
    624,843.84x = 291,766,395,153.83
  5. Step 5: Solve for x
    x = 291,766,395,153.83/624,843.84
  6. Step 6: Final answer
    x = 466,942.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.