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Finding the Fourth Proportional to 854,000.40, 1,178,500 and 466,798.44

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Solution

The fourth proportional to 854,000.40, 1,178,500 and 466,798.44 is: 644,170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,000.40 : 1,178,500 = 466,798.44 : x
  2. Step 2: Convert to fraction form
    854,000.40/1,178,500 = 466,798.44/x
  3. Step 3: Cross multiply
    854,000.40x = 1,178,500 × 466,798.44
  4. Step 4: Simplify right side
    854,000.40x = 550,121,961,540
  5. Step 5: Solve for x
    x = 550,121,961,540/854,000.40
  6. Step 6: Final answer
    x = 644,170.61

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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.