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Finding the Fourth Proportional to 538,224.31, 742,746.09 and 296,501.27

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Solution

The fourth proportional to 538,224.31, 742,746.09 and 296,501.27 is: 409,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,224.31 : 742,746.09 = 296,501.27 : x
  2. Step 2: Convert to fraction form
    538,224.31/742,746.09 = 296,501.27/x
  3. Step 3: Cross multiply
    538,224.31x = 742,746.09 × 296,501.27
  4. Step 4: Simplify right side
    538,224.31x = 220,225,161,941.28
  5. Step 5: Solve for x
    x = 220,225,161,941.28/538,224.31
  6. Step 6: Final answer
    x = 409,169.86

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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.