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Finding the Fourth Proportional to 318,097.53, 477,301.95 and 149,634.86

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Solution

The fourth proportional to 318,097.53, 477,301.95 and 149,634.86 is: 224,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,097.53 : 477,301.95 = 149,634.86 : x
  2. Step 2: Convert to fraction form
    318,097.53/477,301.95 = 149,634.86/x
  3. Step 3: Cross multiply
    318,097.53x = 477,301.95 × 149,634.86
  4. Step 4: Simplify right side
    318,097.53x = 71,421,010,465.98
  5. Step 5: Solve for x
    x = 71,421,010,465.98/318,097.53
  6. Step 6: Final answer
    x = 224,525.51

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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.