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Finding the Fourth Proportional to 524,461.06, 784,999.70 and 271,393.37

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Solution

The fourth proportional to 524,461.06, 784,999.70 and 271,393.37 is: 406,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,461.06 : 784,999.70 = 271,393.37 : x
  2. Step 2: Convert to fraction form
    524,461.06/784,999.70 = 271,393.37/x
  3. Step 3: Cross multiply
    524,461.06x = 784,999.70 × 271,393.37
  4. Step 4: Simplify right side
    524,461.06x = 213,043,714,031.99
  5. Step 5: Solve for x
    x = 213,043,714,031.99/524,461.06
  6. Step 6: Final answer
    x = 406,214.55

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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.