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Finding the Fourth Proportional to 817,451.84, 1,226,385.12 and 256,491.20

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Solution

The fourth proportional to 817,451.84, 1,226,385.12 and 256,491.20 is: 384,801.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,451.84 : 1,226,385.12 = 256,491.20 : x
  2. Step 2: Convert to fraction form
    817,451.84/1,226,385.12 = 256,491.20/x
  3. Step 3: Cross multiply
    817,451.84x = 1,226,385.12 × 256,491.20
  4. Step 4: Simplify right side
    817,451.84x = 314,556,991,090.94
  5. Step 5: Solve for x
    x = 314,556,991,090.94/817,451.84
  6. Step 6: Final answer
    x = 384,801.86

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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.