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Finding the Fourth Proportional to 429,780.36, 593,100.42 and 268,728.76

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Solution

The fourth proportional to 429,780.36, 593,100.42 and 268,728.76 is: 370,847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,780.36 : 593,100.42 = 268,728.76 : x
  2. Step 2: Convert to fraction form
    429,780.36/593,100.42 = 268,728.76/x
  3. Step 3: Cross multiply
    429,780.36x = 593,100.42 × 268,728.76
  4. Step 4: Simplify right side
    429,780.36x = 159,383,140,422.08
  5. Step 5: Solve for x
    x = 159,383,140,422.08/429,780.36
  6. Step 6: Final answer
    x = 370,847.89

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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.