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Finding the Fourth Proportional to 289,039.10, 433,299.45 and 257,546.30

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Solution

The fourth proportional to 289,039.10, 433,299.45 and 257,546.30 is: 386,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,039.10 : 433,299.45 = 257,546.30 : x
  2. Step 2: Convert to fraction form
    289,039.10/433,299.45 = 257,546.30/x
  3. Step 3: Cross multiply
    289,039.10x = 433,299.45 × 257,546.30
  4. Step 4: Simplify right side
    289,039.10x = 111,594,670,139.54
  5. Step 5: Solve for x
    x = 111,594,670,139.54/289,039.10
  6. Step 6: Final answer
    x = 386,088.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.