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Finding the Fourth Proportional to 292,048.31, 403,209.12 and 223,934.43

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Solution

The fourth proportional to 292,048.31, 403,209.12 and 223,934.43 is: 309,169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,048.31 : 403,209.12 = 223,934.43 : x
  2. Step 2: Convert to fraction form
    292,048.31/403,209.12 = 223,934.43/x
  3. Step 3: Cross multiply
    292,048.31x = 403,209.12 × 223,934.43
  4. Step 4: Simplify right side
    292,048.31x = 90,292,404,458.00
  5. Step 5: Solve for x
    x = 90,292,404,458.00/292,048.31
  6. Step 6: Final answer
    x = 309,169.41

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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.