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Finding the Fourth Proportional to 363,634.16, 545,482.76 and 110,971.53

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Solution

The fourth proportional to 363,634.16, 545,482.76 and 110,971.53 is: 166,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,634.16 : 545,482.76 = 110,971.53 : x
  2. Step 2: Convert to fraction form
    363,634.16/545,482.76 = 110,971.53/x
  3. Step 3: Cross multiply
    363,634.16x = 545,482.76 × 110,971.53
  4. Step 4: Simplify right side
    363,634.16x = 60,533,055,910.97
  5. Step 5: Solve for x
    x = 60,533,055,910.97/363,634.16
  6. Step 6: Final answer
    x = 166,466.91

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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.