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Finding the Fourth Proportional to 507,274.49, 760,732.24 and 147,370.46

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Solution

The fourth proportional to 507,274.49, 760,732.24 and 147,370.46 is: 221,003.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,274.49 : 760,732.24 = 147,370.46 : x
  2. Step 2: Convert to fraction form
    507,274.49/760,732.24 = 147,370.46/x
  3. Step 3: Cross multiply
    507,274.49x = 760,732.24 × 147,370.46
  4. Step 4: Simplify right side
    507,274.49x = 112,109,458,243.80
  5. Step 5: Solve for x
    x = 112,109,458,243.80/507,274.49
  6. Step 6: Final answer
    x = 221,003.54

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Why These Related Problems?

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