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Finding the Fourth Proportional to 538,700.36, 743,362.80 and 312,360.44

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Solution

The fourth proportional to 538,700.36, 743,362.80 and 312,360.44 is: 431,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,700.36 : 743,362.80 = 312,360.44 : x
  2. Step 2: Convert to fraction form
    538,700.36/743,362.80 = 312,360.44/x
  3. Step 3: Cross multiply
    538,700.36x = 743,362.80 × 312,360.44
  4. Step 4: Simplify right side
    538,700.36x = 232,197,131,287.63
  5. Step 5: Solve for x
    x = 232,197,131,287.63/538,700.36
  6. Step 6: Final answer
    x = 431,032.07

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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.