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Finding the Fourth Proportional to 737,155.74, 1,017,273.96 and 414,868.14

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Solution

The fourth proportional to 737,155.74, 1,017,273.96 and 414,868.14 is: 572,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,155.74 : 1,017,273.96 = 414,868.14 : x
  2. Step 2: Convert to fraction form
    737,155.74/1,017,273.96 = 414,868.14/x
  3. Step 3: Cross multiply
    737,155.74x = 1,017,273.96 × 414,868.14
  4. Step 4: Simplify right side
    737,155.74x = 422,034,555,655.63
  5. Step 5: Solve for x
    x = 422,034,555,655.63/737,155.74
  6. Step 6: Final answer
    x = 572,517.49

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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.