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Finding the Fourth Proportional to 737,206.72, 1,017,378 and 414,937.68

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Solution

The fourth proportional to 737,206.72, 1,017,378 and 414,937.68 is: 572,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,206.72 : 1,017,378 = 414,937.68 : x
  2. Step 2: Convert to fraction form
    737,206.72/1,017,378 = 414,937.68/x
  3. Step 3: Cross multiply
    737,206.72x = 1,017,378 × 414,937.68
  4. Step 4: Simplify right side
    737,206.72x = 422,148,467,003.04
  5. Step 5: Solve for x
    x = 422,148,467,003.04/737,206.72
  6. Step 6: Final answer
    x = 572,632.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.