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Finding the Fourth Proportional to 654,231.30, 902,934.81 and 367,774.98

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Solution

The fourth proportional to 654,231.30, 902,934.81 and 367,774.98 is: 507,583.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,231.30 : 902,934.81 = 367,774.98 : x
  2. Step 2: Convert to fraction form
    654,231.30/902,934.81 = 367,774.98/x
  3. Step 3: Cross multiply
    654,231.30x = 902,934.81 × 367,774.98
  4. Step 4: Simplify right side
    654,231.30x = 332,076,831,689.05
  5. Step 5: Solve for x
    x = 332,076,831,689.05/654,231.30
  6. Step 6: Final answer
    x = 507,583.22

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Why These Related Problems?

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