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Finding the Fourth Proportional to 538,149.31, 742,642.58 and 296,426.27

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Solution

The fourth proportional to 538,149.31, 742,642.58 and 296,426.27 is: 409,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,149.31 : 742,642.58 = 296,426.27 : x
  2. Step 2: Convert to fraction form
    538,149.31/742,642.58 = 296,426.27/x
  3. Step 3: Cross multiply
    538,149.31x = 742,642.58 × 296,426.27
  4. Step 4: Simplify right side
    538,149.31x = 220,138,772,530.25
  5. Step 5: Solve for x
    x = 220,138,772,530.25/538,149.31
  6. Step 6: Final answer
    x = 409,066.35

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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.