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Finding the Fourth Proportional to 397,153.80, 595,673.10 and 116,641.80

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Solution

The fourth proportional to 397,153.80, 595,673.10 and 116,641.80 is: 174,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,153.80 : 595,673.10 = 116,641.80 : x
  2. Step 2: Convert to fraction form
    397,153.80/595,673.10 = 116,641.80/x
  3. Step 3: Cross multiply
    397,153.80x = 595,673.10 × 116,641.80
  4. Step 4: Simplify right side
    397,153.80x = 69,480,382,595.58
  5. Step 5: Solve for x
    x = 69,480,382,595.58/397,153.80
  6. Step 6: Final answer
    x = 174,945.78

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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.