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Finding the Fourth Proportional to 397,763.72, 596,684.45 and 117,361.16

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Solution

The fourth proportional to 397,763.72, 596,684.45 and 117,361.16 is: 176,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,763.72 : 596,684.45 = 117,361.16 : x
  2. Step 2: Convert to fraction form
    397,763.72/596,684.45 = 117,361.16/x
  3. Step 3: Cross multiply
    397,763.72x = 596,684.45 × 117,361.16
  4. Step 4: Simplify right side
    397,763.72x = 70,027,576,515.94
  5. Step 5: Solve for x
    x = 70,027,576,515.94/397,763.72
  6. Step 6: Final answer
    x = 176,053.20

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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.