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Finding the Fourth Proportional to 737,178.40, 1,017,338.94 and 414,909.40

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Solution

The fourth proportional to 737,178.40, 1,017,338.94 and 414,909.40 is: 572,593.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,178.40 : 1,017,338.94 = 414,909.40 : x
  2. Step 2: Convert to fraction form
    737,178.40/1,017,338.94 = 414,909.40/x
  3. Step 3: Cross multiply
    737,178.40x = 1,017,338.94 × 414,909.40
  4. Step 4: Simplify right side
    737,178.40x = 422,103,489,192.04
  5. Step 5: Solve for x
    x = 422,103,489,192.04/737,178.40
  6. Step 6: Final answer
    x = 572,593.40

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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.