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Finding the Fourth Proportional to 455,835.20, 684,368.40 and 266,489.60

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Solution

The fourth proportional to 455,835.20, 684,368.40 and 266,489.60 is: 400,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,835.20 : 684,368.40 = 266,489.60 : x
  2. Step 2: Convert to fraction form
    455,835.20/684,368.40 = 266,489.60/x
  3. Step 3: Cross multiply
    455,835.20x = 684,368.40 × 266,489.60
  4. Step 4: Simplify right side
    455,835.20x = 182,377,061,168.64
  5. Step 5: Solve for x
    x = 182,377,061,168.64/455,835.20
  6. Step 6: Final answer
    x = 400,094.29

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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.