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Finding the Fourth Proportional to 455,839.20, 684,374.40 and 266,493.60

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Solution

The fourth proportional to 455,839.20, 684,374.40 and 266,493.60 is: 400,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,839.20 : 684,374.40 = 266,493.60 : x
  2. Step 2: Convert to fraction form
    455,839.20/684,374.40 = 266,493.60/x
  3. Step 3: Cross multiply
    455,839.20x = 684,374.40 × 266,493.60
  4. Step 4: Simplify right side
    455,839.20x = 182,381,397,603.84
  5. Step 5: Solve for x
    x = 182,381,397,603.84/455,839.20
  6. Step 6: Final answer
    x = 400,100.29

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Why These Related Problems?

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