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Finding the Fourth Proportional to 601,421.76, 829,815.84 and 333,149.76

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Solution

The fourth proportional to 601,421.76, 829,815.84 and 333,149.76 is: 459,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,421.76 : 829,815.84 = 333,149.76 : x
  2. Step 2: Convert to fraction form
    601,421.76/829,815.84 = 333,149.76/x
  3. Step 3: Cross multiply
    601,421.76x = 829,815.84 × 333,149.76
  4. Step 4: Simplify right side
    601,421.76x = 276,452,947,940.20
  5. Step 5: Solve for x
    x = 276,452,947,940.20/601,421.76
  6. Step 6: Final answer
    x = 459,665.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.