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Finding the Fourth Proportional to 397,535.88, 596,432.46 and 117,054.60

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Solution

The fourth proportional to 397,535.88, 596,432.46 and 117,054.60 is: 175,619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,535.88 : 596,432.46 = 117,054.60 : x
  2. Step 2: Convert to fraction form
    397,535.88/596,432.46 = 117,054.60/x
  3. Step 3: Cross multiply
    397,535.88x = 596,432.46 × 117,054.60
  4. Step 4: Simplify right side
    397,535.88x = 69,815,163,032.32
  5. Step 5: Solve for x
    x = 69,815,163,032.32/397,535.88
  6. Step 6: Final answer
    x = 175,619.78

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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.