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Finding the Fourth Proportional to 285,130.89, 427,224.06 and 200,477.46

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Solution

The fourth proportional to 285,130.89, 427,224.06 and 200,477.46 is: 300,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,130.89 : 427,224.06 = 200,477.46 : x
  2. Step 2: Convert to fraction form
    285,130.89/427,224.06 = 200,477.46/x
  3. Step 3: Cross multiply
    285,130.89x = 427,224.06 × 200,477.46
  4. Step 4: Simplify right side
    285,130.89x = 85,648,794,399.69
  5. Step 5: Solve for x
    x = 85,648,794,399.69/285,130.89
  6. Step 6: Final answer
    x = 300,384.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.