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Finding the Fourth Proportional to 1,649,788, 2,475,068.64 and 512,491.84

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Solution

The fourth proportional to 1,649,788, 2,475,068.64 and 512,491.84 is: 768,857.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,788 : 2,475,068.64 = 512,491.84 : x
  2. Step 2: Convert to fraction form
    1,649,788/2,475,068.64 = 512,491.84/x
  3. Step 3: Cross multiply
    1,649,788x = 2,475,068.64 × 512,491.84
  4. Step 4: Simplify right side
    1,649,788x = 1,268,452,481,439.90
  5. Step 5: Solve for x
    x = 1,268,452,481,439.90/1,649,788
  6. Step 6: Final answer
    x = 768,857.87

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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.