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Finding the Fourth Proportional to 524,361.12, 785,824.07 and 396,172.01

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Solution

The fourth proportional to 524,361.12, 785,824.07 and 396,172.01 is: 593,715.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,361.12 : 785,824.07 = 396,172.01 : x
  2. Step 2: Convert to fraction form
    524,361.12/785,824.07 = 396,172.01/x
  3. Step 3: Cross multiply
    524,361.12x = 785,824.07 × 396,172.01
  4. Step 4: Simplify right side
    524,361.12x = 311,321,502,973.33
  5. Step 5: Solve for x
    x = 311,321,502,973.33/524,361.12
  6. Step 6: Final answer
    x = 593,715.84

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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.