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Finding the Fourth Proportional to 538,387.24, 742,965.06 and 312,053.80

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Solution

The fourth proportional to 538,387.24, 742,965.06 and 312,053.80 is: 430,628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,387.24 : 742,965.06 = 312,053.80 : x
  2. Step 2: Convert to fraction form
    538,387.24/742,965.06 = 312,053.80/x
  3. Step 3: Cross multiply
    538,387.24x = 742,965.06 × 312,053.80
  4. Step 4: Simplify right side
    538,387.24x = 231,845,070,240.23
  5. Step 5: Solve for x
    x = 231,845,070,240.23/538,387.24
  6. Step 6: Final answer
    x = 430,628.84

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