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Finding the Fourth Proportional to 314,928,361.80, 472,392,542.70 and 238,400,857.80

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Solution

The fourth proportional to 314,928,361.80, 472,392,542.70 and 238,400,857.80 is: 357,601,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,361.80 : 472,392,542.70 = 238,400,857.80 : x
  2. Step 2: Convert to fraction form
    314,928,361.80/472,392,542.70 = 238,400,857.80/x
  3. Step 3: Cross multiply
    314,928,361.80x = 472,392,542.70 × 238,400,857.80
  4. Step 4: Simplify right side
    314,928,361.80x = 112,618,787,398,003,136
  5. Step 5: Solve for x
    x = 112,618,787,398,003,136/314,928,361.80
  6. Step 6: Final answer
    x = 357,601,286.70

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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.