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Finding the Fourth Proportional to 435,269.34, 649,369.50 and 411,727.50

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Solution

The fourth proportional to 435,269.34, 649,369.50 and 411,727.50 is: 614,247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,269.34 : 649,369.50 = 411,727.50 : x
  2. Step 2: Convert to fraction form
    435,269.34/649,369.50 = 411,727.50/x
  3. Step 3: Cross multiply
    435,269.34x = 649,369.50 × 411,727.50
  4. Step 4: Simplify right side
    435,269.34x = 267,363,280,811.25
  5. Step 5: Solve for x
    x = 267,363,280,811.25/435,269.34
  6. Step 6: Final answer
    x = 614,247.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.