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Finding the Fourth Proportional to 363,814.42, 545,694.99 and 114,567.70

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Solution

The fourth proportional to 363,814.42, 545,694.99 and 114,567.70 is: 171,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,814.42 : 545,694.99 = 114,567.70 : x
  2. Step 2: Convert to fraction form
    363,814.42/545,694.99 = 114,567.70/x
  3. Step 3: Cross multiply
    363,814.42x = 545,694.99 × 114,567.70
  4. Step 4: Simplify right side
    363,814.42x = 62,519,019,905.82
  5. Step 5: Solve for x
    x = 62,519,019,905.82/363,814.42
  6. Step 6: Final answer
    x = 171,843.16

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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.