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Finding the Fourth Proportional to 838,069, 1,156,513.04 and 456,087.60

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Solution

The fourth proportional to 838,069, 1,156,513.04 and 456,087.60 is: 629,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,069 : 1,156,513.04 = 456,087.60 : x
  2. Step 2: Convert to fraction form
    838,069/1,156,513.04 = 456,087.60/x
  3. Step 3: Cross multiply
    838,069x = 1,156,513.04 × 456,087.60
  4. Step 4: Simplify right side
    838,069x = 527,471,256,782.30
  5. Step 5: Solve for x
    x = 527,471,256,782.30/838,069
  6. Step 6: Final answer
    x = 629,388.82

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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.