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Finding the Fourth Proportional to 403,101.63, 604,584.27 and 114,892.83

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Solution

The fourth proportional to 403,101.63, 604,584.27 and 114,892.83 is: 172,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,101.63 : 604,584.27 = 114,892.83 : x
  2. Step 2: Convert to fraction form
    403,101.63/604,584.27 = 114,892.83/x
  3. Step 3: Cross multiply
    403,101.63x = 604,584.27 × 114,892.83
  4. Step 4: Simplify right side
    403,101.63x = 69,462,397,753.78
  5. Step 5: Solve for x
    x = 69,462,397,753.78/403,101.63
  6. Step 6: Final answer
    x = 172,319.81

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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.