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Finding the Fourth Proportional to 471,814.98, 651,123.10 and 267,884.87

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Solution

The fourth proportional to 471,814.98, 651,123.10 and 267,884.87 is: 369,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,814.98 : 651,123.10 = 267,884.87 : x
  2. Step 2: Convert to fraction form
    471,814.98/651,123.10 = 267,884.87/x
  3. Step 3: Cross multiply
    471,814.98x = 651,123.10 × 267,884.87
  4. Step 4: Simplify right side
    471,814.98x = 174,426,026,997.50
  5. Step 5: Solve for x
    x = 174,426,026,997.50/471,814.98
  6. Step 6: Final answer
    x = 369,691.58

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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.