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Finding the Fourth Proportional to 413,851.68, 620,777.52 and 147,601.44

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Solution

The fourth proportional to 413,851.68, 620,777.52 and 147,601.44 is: 221,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,851.68 : 620,777.52 = 147,601.44 : x
  2. Step 2: Convert to fraction form
    413,851.68/620,777.52 = 147,601.44/x
  3. Step 3: Cross multiply
    413,851.68x = 620,777.52 × 147,601.44
  4. Step 4: Simplify right side
    413,851.68x = 91,627,655,871.63
  5. Step 5: Solve for x
    x = 91,627,655,871.63/413,851.68
  6. Step 6: Final answer
    x = 221,402.16

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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.