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Finding the Fourth Proportional to 428,200.48, 590,916.24 and 237,225.76

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Solution

The fourth proportional to 428,200.48, 590,916.24 and 237,225.76 is: 327,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,200.48 : 590,916.24 = 237,225.76 : x
  2. Step 2: Convert to fraction form
    428,200.48/590,916.24 = 237,225.76/x
  3. Step 3: Cross multiply
    428,200.48x = 590,916.24 × 237,225.76
  4. Step 4: Simplify right side
    428,200.48x = 140,180,554,130.34
  5. Step 5: Solve for x
    x = 140,180,554,130.34/428,200.48
  6. Step 6: Final answer
    x = 327,371.31

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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.