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Finding the Fourth Proportional to 737,161.67, 1,017,315.83 and 414,892.64

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Solution

The fourth proportional to 737,161.67, 1,017,315.83 and 414,892.64 is: 572,570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,161.67 : 1,017,315.83 = 414,892.64 : x
  2. Step 2: Convert to fraction form
    737,161.67/1,017,315.83 = 414,892.64/x
  3. Step 3: Cross multiply
    737,161.67x = 1,017,315.83 × 414,892.64
  4. Step 4: Simplify right side
    737,161.67x = 422,076,847,126.17
  5. Step 5: Solve for x
    x = 422,076,847,126.17/737,161.67
  6. Step 6: Final answer
    x = 572,570.26

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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.