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Finding the Fourth Proportional to 472,957.92, 709,685.99 and 273,418.45

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Solution

The fourth proportional to 472,957.92, 709,685.99 and 273,418.45 is: 410,271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,957.92 : 709,685.99 = 273,418.45 : x
  2. Step 2: Convert to fraction form
    472,957.92/709,685.99 = 273,418.45/x
  3. Step 3: Cross multiply
    472,957.92x = 709,685.99 × 273,418.45
  4. Step 4: Simplify right side
    472,957.92x = 194,041,243,372.52
  5. Step 5: Solve for x
    x = 194,041,243,372.52/472,957.92
  6. Step 6: Final answer
    x = 410,271.69

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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.