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Finding the Fourth Proportional to 286,174.76, 394,922.73 and 178,807.10

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Solution

The fourth proportional to 286,174.76, 394,922.73 and 178,807.10 is: 246,754.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,174.76 : 394,922.73 = 178,807.10 : x
  2. Step 2: Convert to fraction form
    286,174.76/394,922.73 = 178,807.10/x
  3. Step 3: Cross multiply
    286,174.76x = 394,922.73 × 178,807.10
  4. Step 4: Simplify right side
    286,174.76x = 70,614,988,075.38
  5. Step 5: Solve for x
    x = 70,614,988,075.38/286,174.76
  6. Step 6: Final answer
    x = 246,754.77

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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.