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Finding the Fourth Proportional to 432,855.80, 649,283.70 and 266,737.40

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Solution

The fourth proportional to 432,855.80, 649,283.70 and 266,737.40 is: 400,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,855.80 : 649,283.70 = 266,737.40 : x
  2. Step 2: Convert to fraction form
    432,855.80/649,283.70 = 266,737.40/x
  3. Step 3: Cross multiply
    432,855.80x = 649,283.70 × 266,737.40
  4. Step 4: Simplify right side
    432,855.80x = 173,188,246,000.38
  5. Step 5: Solve for x
    x = 173,188,246,000.38/432,855.80
  6. Step 6: Final answer
    x = 400,106.10

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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.