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Finding the Fourth Proportional to 397,513.96, 596,030.13 and 178,383.63

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Solution

The fourth proportional to 397,513.96, 596,030.13 and 178,383.63 is: 267,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,513.96 : 596,030.13 = 178,383.63 : x
  2. Step 2: Convert to fraction form
    397,513.96/596,030.13 = 178,383.63/x
  3. Step 3: Cross multiply
    397,513.96x = 596,030.13 × 178,383.63
  4. Step 4: Simplify right side
    397,513.96x = 106,322,017,395.69
  5. Step 5: Solve for x
    x = 106,322,017,395.69/397,513.96
  6. Step 6: Final answer
    x = 267,467.38

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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.