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Finding the Fourth Proportional to 475,796.80, 713,658.12 and 176,136.40

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Solution

The fourth proportional to 475,796.80, 713,658.12 and 176,136.40 is: 264,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,796.80 : 713,658.12 = 176,136.40 : x
  2. Step 2: Convert to fraction form
    475,796.80/713,658.12 = 176,136.40/x
  3. Step 3: Cross multiply
    475,796.80x = 713,658.12 × 176,136.40
  4. Step 4: Simplify right side
    475,796.80x = 125,701,172,087.57
  5. Step 5: Solve for x
    x = 125,701,172,087.57/475,796.80
  6. Step 6: Final answer
    x = 264,190.87

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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.