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Finding the Fourth Proportional to 455,835.44, 683,753.64 and 118,875.80

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Solution

The fourth proportional to 455,835.44, 683,753.64 and 118,875.80 is: 178,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,835.44 : 683,753.64 = 118,875.80 : x
  2. Step 2: Convert to fraction form
    455,835.44/683,753.64 = 118,875.80/x
  3. Step 3: Cross multiply
    455,835.44x = 683,753.64 × 118,875.80
  4. Step 4: Simplify right side
    455,835.44x = 81,281,760,957.91
  5. Step 5: Solve for x
    x = 81,281,760,957.91/455,835.44
  6. Step 6: Final answer
    x = 178,313.83

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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.