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Finding the Fourth Proportional to 431,185.70, 646,778.55 and 424,187.30

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Solution

The fourth proportional to 431,185.70, 646,778.55 and 424,187.30 is: 636,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,185.70 : 646,778.55 = 424,187.30 : x
  2. Step 2: Convert to fraction form
    431,185.70/646,778.55 = 424,187.30/x
  3. Step 3: Cross multiply
    431,185.70x = 646,778.55 × 424,187.30
  4. Step 4: Simplify right side
    431,185.70x = 274,355,246,822.42
  5. Step 5: Solve for x
    x = 274,355,246,822.42/431,185.70
  6. Step 6: Final answer
    x = 636,280.95

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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.