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Finding the Fourth Proportional to 455,813.70, 684,336.15 and 266,468.10

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Solution

The fourth proportional to 455,813.70, 684,336.15 and 266,468.10 is: 400,062.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,813.70 : 684,336.15 = 266,468.10 : x
  2. Step 2: Convert to fraction form
    455,813.70/684,336.15 = 266,468.10/x
  3. Step 3: Cross multiply
    455,813.70x = 684,336.15 × 266,468.10
  4. Step 4: Simplify right side
    455,813.70x = 182,353,753,651.82
  5. Step 5: Solve for x
    x = 182,353,753,651.82/455,813.70
  6. Step 6: Final answer
    x = 400,062.03

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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.