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Finding the Fourth Proportional to 429,873.56, 593,126.74 and 266,676.90

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Solution

The fourth proportional to 429,873.56, 593,126.74 and 266,676.90 is: 367,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,873.56 : 593,126.74 = 266,676.90 : x
  2. Step 2: Convert to fraction form
    429,873.56/593,126.74 = 266,676.90/x
  3. Step 3: Cross multiply
    429,873.56x = 593,126.74 × 266,676.90
  4. Step 4: Simplify right side
    429,873.56x = 158,173,200,330.31
  5. Step 5: Solve for x
    x = 158,173,200,330.31/429,873.56
  6. Step 6: Final answer
    x = 367,952.85

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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.