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Finding the Fourth Proportional to 469,067.63, 646,959.15 and 294,688.53

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Solution

The fourth proportional to 469,067.63, 646,959.15 and 294,688.53 is: 406,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,067.63 : 646,959.15 = 294,688.53 : x
  2. Step 2: Convert to fraction form
    469,067.63/646,959.15 = 294,688.53/x
  3. Step 3: Cross multiply
    469,067.63x = 646,959.15 × 294,688.53
  4. Step 4: Simplify right side
    469,067.63x = 190,651,440,883.55
  5. Step 5: Solve for x
    x = 190,651,440,883.55/469,067.63
  6. Step 6: Final answer
    x = 406,447.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.